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41010550440 = 233517127158293
BaseRepresentation
bin100110001100011010…
…110101011010101000
310220212002120211002120
4212030122311122220
51132442200103230
630501234231240
72651164632666
oct461432653250
9126762524076
1041010550440
11164354285a2
127b46425520
133b375449c2
141db08a3c36
15110059e310
hex98c6b56a8

41010550440 has 128 divisors (see below), whose sum is σ = 131295375360. Its totient is φ = 10211733504.

The previous prime is 41010550421. The next prime is 41010550459. The reversal of 41010550440 is 4405501014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41010550421) and next prime (41010550459).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41010550440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179934 + ... + 338226.

It is an arithmetic number, because the mean of its divisors is an integer number (1025745120).

Almost surely, 241010550440 is an apocalyptic number.

41010550440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41010550440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65647687680).

41010550440 is an abundant number, since it is smaller than the sum of its proper divisors (90284824920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41010550440 is a wasteful number, since it uses less digits than its factorization.

41010550440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158451 (or 158447 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 41010550440 in words is "forty-one billion, ten million, five hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 127 136 170 204 254 255 340 381 408 508 510 635 680 762 1016 1020 1270 1524 1905 2040 2159 2540 3048 3810 4318 5080 6477 7620 8636 10795 12954 15240 17272 21590 25908 32385 43180 51816 64770 86360 129540 158293 259080 316586 474879 633172 791465 949758 1266344 1582930 1899516 2374395 2690981 3165860 3799032 4748790 5381962 6331720 8072943 9497580 10763924 13454905 16145886 18995160 20103211 21527848 26909810 32291772 40206422 40364715 53819620 60309633 64583544 80412844 80729430 100516055 107639240 120619266 160825688 161458860 201032110 241238532 301548165 322917720 341754587 402064220 482477064 603096330 683509174 804128440 1025263761 1206192660 1367018348 1708772935 2050527522 2412385320 2734036696 3417545870 4101055044 5126318805 6835091740 8202110088 10252637610 13670183480 20505275220 41010550440