40072054536 has 128 divisors (see below), whose sum is σ = 115359552000. Its totient is φ = 12873240576.

The previous prime is 40072054523. The next prime is 40072054549. The reversal of 40072054536 is 63545027004.

40072054536 is a `hidden beast` number, since 4 + 0 + 0 + 72 + 0 + 54 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (40072054523) and next prime (40072054549).

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

It is a self number, because there is not a number n which added to its sum of digits gives 40072054536.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3608785 + ... + 3619871.

It is an arithmetic number, because the mean of its divisors is an integer number (901246500).

Almost surely, 2^40072054536 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 40072054536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57679776000).

40072054536 is an abundant number, since it is smaller than the sum of its proper divisors (75287497464).

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

40072054536 is a wasteful number, since it uses less digits than its factorization.

40072054536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11708 (or 11698 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 40072054536 in words is "forty billion, seventy-two million, fifty-four thousand, five hundred thirty-six".