312420002430400 has 84 divisors (see below), whose sum is σ = 768756425255728. Its totient is φ = 124966707517440.

The previous prime is 312420002430391. The next prime is 312420002430449. The reversal of 312420002430400 is 4034200024213.

It is a happy number.

It is a super-2 number, since 2×312420002430400² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161819557 + ... + 163738843.

Almost surely, 2^{312420002430400} is an apocalyptic number.

It is an amenable number.

312420002430400 is an abundant number, since it is smaller than the sum of its proper divisors (456336422825328).

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

312420002430400 is a wasteful number, since it uses less digits than its factorization.

312420002430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021046 (or 2021031 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 312420002430400 its reverse (4034200024213), we get a palindrome (316454202454613).

The spelling of 312420002430400 in words is "three hundred twelve trillion, four hundred twenty billion, two million, four hundred thirty thousand, four hundred".