4007631265011 has 32 divisors (see below), whose sum is σ = 6527979724800. Its totient is φ = 2409742470240.

The previous prime is 4007631265009. The next prime is 4007631265031. The reversal of 4007631265011 is 1105621367004.

4007631265011 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 631 + 2 + 6 + 5 + 0 + 11 = 666.

4007631265011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4007631265011 - 2¹ = 4007631265009 is a prime.

It is a super-2 number, since 2×4007631265011² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4007631265031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53087116 + ... + 53162553.

It is an arithmetic number, because the mean of its divisors is an integer number (203999366400).

Almost surely, 2^{4007631265011} is an apocalyptic number.

4007631265011 is a deficient number, since it is larger than the sum of its proper divisors (2520348459789).

4007631265011 is a wasteful number, since it uses less digits than its factorization.

4007631265011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106249816 (or 106249810 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 4007631265011 in words is "four trillion, seven billion, six hundred thirty-one million, two hundred sixty-five thousand, eleven".