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40518619920 = 2432556275861
BaseRepresentation
bin100101101111000110…
…010001001100010000
310212120210221011021200
4211233012101030100
51130440231314140
630340342351200
72633042405142
oct455706211420
9125523834250
1040518619920
1116202782949
127a2972b500
133a8965685c
141d6540cc92
1510c22cc030
hex96f191310

40518619920 has 60 divisors (see below), whose sum is σ = 136075034316. Its totient is φ = 10804965120.

The previous prime is 40518619909. The next prime is 40518619949. The reversal of 40518619920 is 2991681504.

40518619920 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 8 + 619 + 9 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4118558976 + 36400060944 = 64176^2 + 190788^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28137211 + ... + 28138650.

Almost surely, 240518619920 is an apocalyptic number.

40518619920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40518619920 is an abundant number, since it is smaller than the sum of its proper divisors (95556414396).

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

40518619920 is a wasteful number, since it uses less digits than its factorization.

40518619920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56275880 (or 56275871 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 40518619920 in words is "forty billion, five hundred eighteen million, six hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 56275861 112551722 168827583 225103444 281379305 337655166 450206888 506482749 562758610 675310332 844137915 900413776 1012965498 1125517220 1350620664 1688275830 2025930996 2251034440 2532413745 2701241328 3376551660 4051861992 4502068880 5064827490 6753103320 8103723984 10129654980 13506206640 20259309960 40518619920