4013167763872 has 96 divisors (see below), whose sum is σ = 8227139880960. Its totient is φ = 1925903159040.

The previous prime is 4013167763861. The next prime is 4013167763923. The reversal of 4013167763872 is 2783677613104.

It is a super-2 number, since 2×4013167763872² (a number of 26 digits) 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, 13661613 + ... + 13952275.

It is an arithmetic number, because the mean of its divisors is an integer number (85699373760).

Almost surely, 2^{4013167763872} 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 4013167763872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113569940480).

4013167763872 is an abundant number, since it is smaller than the sum of its proper divisors (4213972117088).

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

4013167763872 is a wasteful number, since it uses less digits than its factorization.

4013167763872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290906 (or 290898 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 55.

The spelling of 4013167763872 in words is "four trillion, thirteen billion, one hundred sixty-seven million, seven hundred sixty-three thousand, eight hundred seventy-two".