40004863632 has 160 divisors (see below), whose sum is σ = 118680657920. Its totient is φ = 12888720000.

The previous prime is 40004863597. The next prime is 40004863651. The reversal of 40004863632 is 23636840004.

It is a happy number.

It is a super-2 number, since 2×40004863632² (a number of 22 digits) contains 22 as substring.

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

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, 15680757 + ... + 15683307.

It is an arithmetic number, because the mean of its divisors is an integer number (741754112).

Almost surely, 2^40004863632 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 40004863632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59340328960).

40004863632 is an abundant number, since it is smaller than the sum of its proper divisors (78675794288).

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

40004863632 is a wasteful number, since it uses less digits than its factorization.

40004863632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 40004863632 in words is "forty billion, four million, eight hundred sixty-three thousand, six hundred thirty-two".