40006274116536 has 256 divisors, whose sum is σ = 136783507660800. Its totient is φ = 10550339942400.

The previous prime is 40006274116519. The next prime is 40006274116541. The reversal of 40006274116536 is 63561147260004.

40006274116536 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 62 + 7 + 41 + 16 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40006274116491 and 40006274116500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302459376 + ... + 302591616.

It is an arithmetic number, because the mean of its divisors is an integer number (534310576800).

Almost surely, 2^{40006274116536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40006274116536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68391753830400).

40006274116536 is an abundant number, since it is smaller than the sum of its proper divisors (96777233544264).

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

40006274116536 is a wasteful number, since it uses less digits than its factorization.

40006274116536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147667 (or 147657 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 40006274116536 in words is "forty trillion, six billion, two hundred seventy-four million, one hundred sixteen thousand, five hundred thirty-six".