40416512241204 has 54 divisors (see below), whose sum is σ = 112295924634530. Its totient is φ = 12247427950560.

The previous prime is 40416512241107. The next prime is 40416512241221. The reversal of 40416512241204 is 40214221561404.

40416512241204 is a `hidden beast` number, since 4 + 0 + 4 + 16 + 512 + 2 + 4 + 120 + 4 = 666.

40416512241204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31586985252900 + 8829526988304 = 5620230^2 + 2971452^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4639172899 + ... + 4639181610.

Almost surely, 2^{40416512241204} is an apocalyptic number.

40416512241204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40416512241204 is an abundant number, since it is smaller than the sum of its proper divisors (71879412393326).

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

40416512241204 is a wasteful number, since it uses less digits than its factorization.

40416512241204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9278354541 (or 9278354525 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 40416512241204 in words is "forty trillion, four hundred sixteen billion, five hundred twelve million, two hundred forty-one thousand, two hundred four".