40122493632 has 168 divisors, whose sum is σ = 125010312336. Its totient is φ = 12229761024.

The previous prime is 40122493601. The next prime is 40122493639. The reversal of 40122493632 is 23639422104.

40122493632 is a `hidden beast` number, since 4 + 0 + 12 + 2 + 4 + 9 + 3 + 632 = 666.

40122493632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (40122493639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776178 + ... + 826254.

It is an arithmetic number, because the mean of its divisors is an integer number (744109002).

Almost surely, 2^40122493632 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 40122493632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62505156168).

40122493632 is an abundant number, since it is smaller than the sum of its proper divisors (84887818704).

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

40122493632 is a wasteful number, since it uses less digits than its factorization.

40122493632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50215 (or 50202 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 40122493632 in words is "forty billion, one hundred twenty-two million, four hundred ninety-three thousand, six hundred thirty-two".