5312410230400 has 384 divisors, whose sum is σ = 16169768818560. Its totient is φ = 1679416934400.

The previous prime is 5312410230373. The next prime is 5312410230437. The reversal of 5312410230400 is 40320142135.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274009507 + ... + 274028893.

It is an arithmetic number, because the mean of its divisors is an integer number (42108772965).

Almost surely, 2^{5312410230400} is an apocalyptic number.

5312410230400 is a gapful number since it is divisible by the number (50) 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 5312410230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084884409280).

5312410230400 is an abundant number, since it is smaller than the sum of its proper divisors (10857358588160).

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

5312410230400 is a wasteful number, since it uses less digits than its factorization.

5312410230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20372 (or 20355 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 5312410230400 its reverse (40320142135), we get a palindrome (5352730372535).

The spelling of 5312410230400 in words is "five trillion, three hundred twelve billion, four hundred ten million, two hundred thirty thousand, four hundred".