38400225121 has 16 divisors (see below), whose sum is σ = 39183654400. Its totient is φ = 37625223168.

The previous prime is 38400225007. The next prime is 38400225167. The reversal of 38400225121 is 12152200483.

It is a cyclic number.

It is not a de Polignac number, because 38400225121 - 2¹¹ = 38400223073 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38400225121.

It is not an unprimeable number, because it can be changed into a prime (38400220121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6690565 + ... + 6696301.

It is an arithmetic number, because the mean of its divisors is an integer number (2448978400).

Almost surely, 2^38400225121 is an apocalyptic number.

It is an amenable number.

38400225121 is a deficient number, since it is larger than the sum of its proper divisors (783429279).

38400225121 is a wasteful number, since it uses less digits than its factorization.

38400225121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448.

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 38400225121 in words is "thirty-eight billion, four hundred million, two hundred twenty-five thousand, one hundred twenty-one".