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40412210560 = 275239926321
BaseRepresentation
bin100101101000110000…
…010110010110000000
310212022101201000002021
4211220300112112000
51130231011214220
630322021531224
72630311056601
oct455060262600
9125271630067
1040412210560
1116158703a27
1279b9b73b14
133a705aa937
141d5522dda8
1510b7cad4aa
hex968c16580

40412210560 has 64 divisors (see below), whose sum is σ = 96654384000. Its totient is φ = 16157532160.

The previous prime is 40412210557. The next prime is 40412210591. The reversal of 40412210560 is 6501221404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1522200 + ... + 1548520.

It is an arithmetic number, because the mean of its divisors is an integer number (1510224750).

Almost surely, 240412210560 is an apocalyptic number.

40412210560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40412210560 is an abundant number, since it is smaller than the sum of its proper divisors (56242173440).

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

40412210560 is a wasteful number, since it uses less digits than its factorization.

40412210560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28739 (or 28727 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 40412210560 its reverse (6501221404), we get a palindrome (46913431964).

The spelling of 40412210560 in words is "forty billion, four hundred twelve million, two hundred ten thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2399 4798 9596 11995 19192 23990 26321 38384 47980 52642 76768 95960 105284 131605 153536 191920 210568 263210 307072 383840 421136 526420 767680 842272 1052840 1535360 1684544 2105680 3369088 4211360 8422720 16845440 63144079 126288158 252576316 315720395 505152632 631440790 1010305264 1262881580 2020610528 2525763160 4041221056 5051526320 8082442112 10103052640 20206105280 40412210560