2133440122400 has 36 divisors (see below), whose sum is σ = 5208260700762. Its totient is φ = 853376048640.

The previous prime is 2133440122399. The next prime is 2133440122403. The reversal of 2133440122400 is 42210443312.

It can be written as a sum of positive squares in 3 ways, for example, as 1270228177936 + 863211944464 = 1127044^2 + 929092^2 .

It is a super-2 number, since 2×2133440122400² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2133440122400.

It is not an unprimeable number, because it can be changed into a prime (2133440122403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1333399277 + ... + 1333400876.

Almost surely, 2^{2133440122400} is an apocalyptic number.

2133440122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133440122400 is an abundant number, since it is smaller than the sum of its proper divisors (3074820578362).

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

2133440122400 is a wasteful number, since it uses less digits than its factorization.

2133440122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666800173 (or 2666800160 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2133440122400 its reverse (42210443312), we get a palindrome (2175650565712).

The spelling of 2133440122400 in words is "two trillion, one hundred thirty-three billion, four hundred forty million, one hundred twenty-two thousand, four hundred".