312403130030400 has 672 divisors, whose sum is σ = 1097956758412800. Its totient is φ = 77529811968000.

The previous prime is 312403130030393. The next prime is 312403130030401. The reversal of 312403130030400 is 4030031304213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312403130030401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7807520794 + ... + 7807560806.

Almost surely, 2^{312403130030400} is an apocalyptic number.

312403130030400 is a gapful number since it is divisible by the number (30) 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 312403130030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548978379206400).

312403130030400 is an abundant number, since it is smaller than the sum of its proper divisors (785553628382400).

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

312403130030400 is a wasteful number, since it uses less digits than its factorization.

312403130030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41567 (or 41552 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 312403130030400 its reverse (4030031304213), we get a palindrome (316433161334613).

The spelling of 312403130030400 in words is "three hundred twelve trillion, four hundred three billion, one hundred thirty million, thirty thousand, four hundred".