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41627404440 = 2333560763499
BaseRepresentation
bin100110110001001011…
…111100100010011000
310222110002022020201000
4212301023330202120
51140223103420230
631042351425000
73002365046106
oct466113744230
9128402266630
1041627404440
1116721648096
128098b25160
133c05291a7b
14202c796c76
1511397eab60
hex9b12fc898

41627404440 has 128 divisors (see below), whose sum is σ = 138988800000. Its totient is φ = 11082178944.

The previous prime is 41627404421. The next prime is 41627404451. The reversal of 41627404440 is 4440472614.

It is a super-2 number, since 2×416274044402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41627404395 and 41627404404.

It is a congruent number.

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, 623811 + ... + 687309.

It is an arithmetic number, because the mean of its divisors is an integer number (1085850000).

Almost surely, 241627404440 is an apocalyptic number.

41627404440 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 41627404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69494400000).

41627404440 is an abundant number, since it is smaller than the sum of its proper divisors (97361395560).

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

41627404440 is a wasteful number, since it uses less digits than its factorization.

41627404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64126 (or 64116 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 41627404440 in words is "forty-one billion, six hundred twenty-seven million, four hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 607 1080 1214 1821 2428 3035 3642 4856 5463 6070 7284 9105 10926 12140 14568 16389 18210 21852 24280 27315 32778 36420 43704 54630 63499 65556 72840 81945 109260 126998 131112 163890 190497 218520 253996 317495 327780 380994 507992 571491 634990 655560 761988 952485 1142982 1269980 1523976 1714473 1904970 2285964 2539960 2857455 3428946 3809940 4571928 5714910 6857892 7619880 8572365 11429820 13715784 17144730 22859640 34289460 38543893 68578920 77087786 115631679 154175572 192719465 231263358 308351144 346895037 385438930 462526716 578158395 693790074 770877860 925053432 1040685111 1156316790 1387580148 1541755720 1734475185 2081370222 2312633580 2775160296 3468950370 4162740444 4625267160 5203425555 6937900740 8325480888 10406851110 13875801480 20813702220 41627404440