4001157304736 has 24 divisors (see below), whose sum is σ = 8010791641440. Its totient is φ = 1966670538688.

The previous prime is 4001157304693. The next prime is 4001157304757. The reversal of 4001157304736 is 6374037511004.

4001157304736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4001157304693 and 4001157304702.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1059626636 + ... + 1059630411.

It is an arithmetic number, because the mean of its divisors is an integer number (333782985060).

Almost surely, 2^{4001157304736} is an apocalyptic number.

It is an amenable number.

4001157304736 is an abundant number, since it is smaller than the sum of its proper divisors (4009634336704).

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

4001157304736 is a wasteful number, since it uses less digits than its factorization.

4001157304736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119257116 (or 2119257108 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 4001157304736 in words is "four trillion, one billion, one hundred fifty-seven million, three hundred four thousand, seven hundred thirty-six".