45053233402400 has 72 divisors (see below), whose sum is σ = 110044931650164. Its totient is φ = 18011671142400.

The previous prime is 45053233402393. The next prime is 45053233402453. The reversal of 45053233402400 is 420433235054.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 38634261136 + 45014599141264 = 196556^2 + 6709292^2 .

It is a super-2 number, since 2×45053233402400² (a number of 28 digits) contains 22 as substring.

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, 13535381 + ... + 16532180.

Almost surely, 2^{45053233402400} is an apocalyptic number.

45053233402400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45053233402400 is an abundant number, since it is smaller than the sum of its proper divisors (64991698247764).

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

45053233402400 is a wasteful number, since it uses less digits than its factorization.

45053233402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30069454 (or 30069441 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

Adding to 45053233402400 its reverse (420433235054), we get a palindrome (45473666637454).

The spelling of 45053233402400 in words is "forty-five trillion, fifty-three billion, two hundred thirty-three million, four hundred two thousand, four hundred".