45323315430400 has 264 divisors, whose sum is σ = 129596523345216. Its totient is φ = 15394187673600.

The previous prime is 45323315430383. The next prime is 45323315430413. The reversal of 45323315430400 is 403451332354.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45323315430400.

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, 17992530 + ... + 20356270.

Almost surely, 2^{45323315430400} is an apocalyptic number.

45323315430400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45323315430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64798261672608).

45323315430400 is an abundant number, since it is smaller than the sum of its proper divisors (84273207914816).

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

45323315430400 is a wasteful number, since it uses less digits than its factorization.

45323315430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363885 (or 2363862 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

Adding to 45323315430400 its reverse (403451332354), we get a palindrome (45726766762754).

The spelling of 45323315430400 in words is "forty-five trillion, three hundred twenty-three billion, three hundred fifteen million, four hundred thirty thousand, four hundred".