4040405214400 has 84 divisors (see below), whose sum is σ = 10001455209648. Its totient is φ = 1606484362240.

The previous prime is 4040405214379. The next prime is 4040405214421. The reversal of 4040405214400 is 44125040404.

It is an interprime number because it is at equal distance from previous prime (4040405214379) and next prime (4040405214421).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7293439 + ... + 7827838.

It is an arithmetic number, because the mean of its divisors is an integer number (119064942972).

Almost surely, 2^{4040405214400} is an apocalyptic number.

4040405214400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040405214400 is an abundant number, since it is smaller than the sum of its proper divisors (5961049995248).

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

4040405214400 is a wasteful number, since it uses less digits than its factorization.

4040405214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15121466 (or 15121451 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The spelling of 4040405214400 in words is "four trillion, forty billion, four hundred five million, two hundred fourteen thousand, four hundred".