312414442400 has 72 divisors (see below), whose sum is σ = 763626085740. Its totient is φ = 124811048960.

The previous prime is 312414442393. The next prime is 312414442411. The reversal of 312414442400 is 4244414213.

It can be written as a sum of positive squares in 6 ways, for example, as 203469557776 + 108944884624 = 451076^2 + 330068^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405842 + ... + 888558.

Almost surely, 2^312414442400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312414442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381813042870).

312414442400 is an abundant number, since it is smaller than the sum of its proper divisors (451211643340).

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

312414442400 is a wasteful number, since it uses less digits than its factorization.

312414442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483546 (or 483533 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 312414442400 its reverse (4244414213), we get a palindrome (316658856613).

The spelling of 312414442400 in words is "three hundred twelve billion, four hundred fourteen million, four hundred forty-two thousand, four hundred".