4004037166080 has 704 divisors, whose sum is σ = 14817775127040. Its totient is φ = 903931232256.

The previous prime is 4004037166061. The next prime is 4004037166093. The reversal of 4004037166080 is 806617304004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3257962906 + ... + 3257964134.

Almost surely, 2^{4004037166080} is an apocalyptic number.

4004037166080 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 4004037166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408887563520).

4004037166080 is an abundant number, since it is smaller than the sum of its proper divisors (10813737960960).

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

4004037166080 is a wasteful number, since it uses less digits than its factorization.

4004037166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 4004037166080 in words is "four trillion, four billion, thirty-seven million, one hundred sixty-six thousand, eighty".