40432537125820 has 192 divisors, whose sum is σ = 102409035402240. Its totient is φ = 13099110912000.

The previous prime is 40432537125809. The next prime is 40432537125863. The reversal of 40432537125820 is 2852173523404.

It is a happy number.

40432537125820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2016474795 + ... + 2016494845.

It is an arithmetic number, because the mean of its divisors is an integer number (533380392720).

Almost surely, 2^{40432537125820} 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 40432537125820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51204517701120).

40432537125820 is an abundant number, since it is smaller than the sum of its proper divisors (61976498276420).

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

40432537125820 is a wasteful number, since it uses less digits than its factorization.

40432537125820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22004 (or 22002 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 40432537125820 in words is "forty trillion, four hundred thirty-two billion, five hundred thirty-seven million, one hundred twenty-five thousand, eight hundred twenty".