4000635121731 has 16 divisors (see below), whose sum is σ = 5614985523840. Its totient is φ = 2526690352320.

The previous prime is 4000635121669. The next prime is 4000635121759. The reversal of 4000635121731 is 1371215360004.

It is not a de Polignac number, because 4000635121731 - 2²⁶ = 4000568012867 is a prime.

It is a super-2 number, since 2×4000635121731² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4000635121692 and 4000635121701.

It is not an unprimeable number, because it can be changed into a prime (4000635121771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6079816 + ... + 6705626.

It is an arithmetic number, because the mean of its divisors is an integer number (350936595240).

Almost surely, 2^{4000635121731} is an apocalyptic number.

4000635121731 is a deficient number, since it is larger than the sum of its proper divisors (1614350402109).

4000635121731 is a wasteful number, since it uses less digits than its factorization.

4000635121731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737986.

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 4000635121731 in words is "four trillion, six hundred thirty-five million, one hundred twenty-one thousand, seven hundred thirty-one".