40432856830080 has 1024 divisors, whose sum is σ = 166310226432000. Its totient is φ = 8198998917120.

The previous prime is 40432856830063. The next prime is 40432856830123. The reversal of 40432856830080 is 8003865823404.

It is a super-2 number, since 2×40432856830080² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119814226 + ... + 120151214.

It is an arithmetic number, because the mean of its divisors is an integer number (162412330500).

Almost surely, 2^{40432856830080} is an apocalyptic number.

40432856830080 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 40432856830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83155113216000).

40432856830080 is an abundant number, since it is smaller than the sum of its proper divisors (125877369601920).

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

40432856830080 is a wasteful number, since it uses less digits than its factorization.

40432856830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337077 (or 337065 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 40432856830080 in words is "forty trillion, four hundred thirty-two billion, eight hundred fifty-six million, eight hundred thirty thousand, eighty".