40920713136 has 240 divisors, whose sum is σ = 124973608320. Its totient is φ = 12817284480.

The previous prime is 40920713111. The next prime is 40920713149. The reversal of 40920713136 is 63131702904.

40920713136 is a `hidden beast` number, since 409 + 207 + 13 + 1 + 36 = 666.

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 40920713136.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20428711 + ... + 20430713.

It is an arithmetic number, because the mean of its divisors is an integer number (520723368).

Almost surely, 2^40920713136 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 40920713136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62486804160).

40920713136 is an abundant number, since it is smaller than the sum of its proper divisors (84052895184).

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

40920713136 is a wasteful number, since it uses less digits than its factorization.

40920713136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 40920713136 in words is "forty billion, nine hundred twenty million, seven hundred thirteen thousand, one hundred thirty-six".