40531936032 has 180 divisors, whose sum is σ = 138665495430. Its totient is φ = 11580516864.

The previous prime is 40531936021. The next prime is 40531936033. The reversal of 40531936032 is 23063913504.

It is a happy number.

40531936032 is a `hidden beast` number, since 4 + 0 + 531 + 93 + 6 + 0 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39934426896 + 597509136 = 199836^2 + 24444^2 .

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 (40531936033) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32557 + ... + 286572.

Almost surely, 2^40531936032 is an apocalyptic number.

40531936032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40531936032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69332747715).

40531936032 is an abundant number, since it is smaller than the sum of its proper divisors (98133559398).

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

40531936032 is a wasteful number, since it uses less digits than its factorization.

40531936032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319165 (or 319141 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 40531936032 in words is "forty billion, five hundred thirty-one million, nine hundred thirty-six thousand, thirty-two".