45233414422400 has 96 divisors (see below), whose sum is σ = 111746036505000. Its totient is φ = 18092496660480.

The previous prime is 45233414422381. The next prime is 45233414422409. The reversal of 45233414422400 is 422441433254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45233414422409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68468054 + ... + 69125546.

Almost surely, 2^{45233414422400} is an apocalyptic number.

45233414422400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45233414422400 is an abundant number, since it is smaller than the sum of its proper divisors (66512622082600).

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

45233414422400 is a wasteful number, since it uses less digits than its factorization.

45233414422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679016 (or 678999 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 38.

Adding to 45233414422400 its reverse (422441433254), we get a palindrome (45655855855654).

The spelling of 45233414422400 in words is "forty-five trillion, two hundred thirty-three billion, four hundred fourteen million, four hundred twenty-two thousand, four hundred".