4040400333333 has 64 divisors (see below), whose sum is σ = 6954486497280. Its totient is φ = 2029480780032.

The previous prime is 4040400333301. The next prime is 4040400333349. The reversal of 4040400333333 is 3333330040404.

4040400333333 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4040400333333 - 2⁵ = 4040400333301 is a prime.

4040400333333 is a modest number, since divided by 333333 gives 40404 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 4040400333333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040400333373) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3780573 + ... + 4730066.

It is an arithmetic number, because the mean of its divisors is an integer number (108663851520).

Almost surely, 2^{4040400333333} is an apocalyptic number.

It is an amenable number.

4040400333333 is a deficient number, since it is larger than the sum of its proper divisors (2914086163947).

4040400333333 is a wasteful number, since it uses less digits than its factorization.

4040400333333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8510746.

The product of its (nonzero) digits is 46656, while the sum is 30.

Adding to 4040400333333 its reverse (3333330040404), we get a palindrome (7373730373737).

The spelling of 4040400333333 in words is "four trillion, forty billion, four hundred million, three hundred thirty-three thousand, three hundred thirty-three".