312444312034404 has 192 divisors, whose sum is σ = 812902267376640. Its totient is φ = 92607534497280.

The previous prime is 312444312034321. The next prime is 312444312034433. The reversal of 312444312034404 is 404430213444213.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1182567187 + ... + 1182831365.

It is an arithmetic number, because the mean of its divisors is an integer number (4233865975920).

Almost surely, 2^{312444312034404} 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 312444312034404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406451133688320).

312444312034404 is an abundant number, since it is smaller than the sum of its proper divisors (500457955342236).

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

312444312034404 is a wasteful number, since it uses less digits than its factorization.

312444312034404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265210 (or 265208 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 312444312034404 its reverse (404430213444213), we get a palindrome (716874525478617).

The spelling of 312444312034404 in words is "three hundred twelve trillion, four hundred forty-four billion, three hundred twelve million, thirty-four thousand, four hundred four".