4001075880704 has 72 divisors (see below), whose sum is σ = 9166628933280. Its totient is φ = 1707387199488.

The previous prime is 4001075880673. The next prime is 4001075880709. The reversal of 4001075880704 is 4070885701004.

It is not an unprimeable number, because it can be changed into a prime (4001075880709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4373759 + ... + 5208830.

It is an arithmetic number, because the mean of its divisors is an integer number (127314290740).

Almost surely, 2^{4001075880704} is an apocalyptic number.

It is an amenable number.

4001075880704 is an abundant number, since it is smaller than the sum of its proper divisors (5165553052576).

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

4001075880704 is an equidigital number, since it uses as much as digits as its factorization.

4001075880704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9582845 (or 9582831 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 44.

The spelling of 4001075880704 in words is "four trillion, one billion, seventy-five million, eight hundred eighty thousand, seven hundred four".