4000333900761 has 48 divisors (see below), whose sum is σ = 6713697926208. Its totient is φ = 2358919195200.

The previous prime is 4000333900751. The next prime is 4000333900847. The reversal of 4000333900761 is 1670093330004.

It is not a de Polignac number, because 4000333900761 - 2⁶ = 4000333900697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4000333900751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20125030 + ... + 20322831.

It is an arithmetic number, because the mean of its divisors is an integer number (139868706796).

Almost surely, 2^{4000333900761} is an apocalyptic number.

It is an amenable number.

4000333900761 is a deficient number, since it is larger than the sum of its proper divisors (2713364025447).

4000333900761 is a wasteful number, since it uses less digits than its factorization.

4000333900761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40447924 (or 40447912 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

It can be divided in two parts, 4000333 and 900761, that added together give a palindrome (4901094).

The spelling of 4000333900761 in words is "four trillion, three hundred thirty-three million, nine hundred thousand, seven hundred sixty-one".