4004131012 has 48 divisors (see below), whose sum is σ = 8338216320. Its totient is φ = 1646726400.

The previous prime is 4004130979. The next prime is 4004131031. The reversal of 4004131012 is 2101314004.

It is a super-2 number, since 2×4004131012² = 32066130322520288288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41439 + ... + 98617.

It is an arithmetic number, because the mean of its divisors is an integer number (173712840).

Almost surely, 2^4004131012 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 4004131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169108160).

4004131012 is an abundant number, since it is smaller than the sum of its proper divisors (4334085308).

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

4004131012 is a wasteful number, since it uses less digits than its factorization.

4004131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57292 (or 57290 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4004131012 is about 63278.2032930772. The cubic root of 4004131012 is about 1587.9473283547.

Adding to 4004131012 its reverse (2101314004), we get a palindrome (6105445016).

The spelling of 4004131012 in words is "four billion, four million, one hundred thirty-one thousand, twelve".