45255243224400 has 120 divisors (see below), whose sum is σ = 158146504550304. Its totient is φ = 10970968051200.

The previous prime is 45255243224363. The next prime is 45255243224461. The reversal of 45255243224400 is 442234255254.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1714200559 + ... + 1714226958.

Almost surely, 2^{45255243224400} is an apocalyptic number.

45255243224400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45255243224400 is an abundant number, since it is smaller than the sum of its proper divisors (112891261325904).

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

45255243224400 is a wasteful number, since it uses less digits than its factorization.

45255243224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428427549 (or 3428427538 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 42.

Adding to 45255243224400 its reverse (442234255254), we get a palindrome (45697477479654).

The spelling of 45255243224400 in words is "forty-five trillion, two hundred fifty-five billion, two hundred forty-three million, two hundred twenty-four thousand, four hundred".