40432064640 has 256 divisors, whose sum is σ = 140917847040. Its totient is φ = 9779097600.

The previous prime is 40432064633. The next prime is 40432064653. The reversal of 40432064640 is 4646023404.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 10283475 + ... + 10287405.

It is an arithmetic number, because the mean of its divisors is an integer number (550460340).

Almost surely, 2^40432064640 is an apocalyptic number.

40432064640 is a gapful number since it is divisible by the number (40) 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 40432064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70458923520).

40432064640 is an abundant number, since it is smaller than the sum of its proper divisors (100485782400).

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

40432064640 is a wasteful number, since it uses less digits than its factorization.

40432064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The spelling of 40432064640 in words is "forty billion, four hundred thirty-two million, sixty-four thousand, six hundred forty".