4080008004000 has 192 divisors, whose sum is σ = 13415804962560. Its totient is φ = 1083956659200.

The previous prime is 4080008003993. The next prime is 4080008004041. The reversal of 4080008004000 is 4008000804.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 2596029 + ... + 3859971.

It is an arithmetic number, because the mean of its divisors is an integer number (69873984180).

Almost surely, 2^{4080008004000} is an apocalyptic number.

4080008004000 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 4080008004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707902481280).

4080008004000 is an abundant number, since it is smaller than the sum of its proper divisors (9335796958560).

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

4080008004000 is a wasteful number, since it uses less digits than its factorization.

4080008004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264240 (or 1264222 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 4080008004000 in words is "four trillion, eighty billion, eight million, four thousand".