312315144422400 has 1584 divisors, whose sum is σ = 1335356618016000. Its totient is φ = 71322258309120.

The previous prime is 312315144422389. The next prime is 312315144422417. The reversal of 312315144422400 is 4224441513213.

312315144422400 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 151 + 44 + 422 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 44943894126 + ... + 44943901074.

Almost surely, 2^{312315144422400} is an apocalyptic number.

312315144422400 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 312315144422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667678309008000).

312315144422400 is an abundant number, since it is smaller than the sum of its proper divisors (1023041473593600).

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

312315144422400 is a wasteful number, since it uses less digits than its factorization.

312315144422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8329 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 312315144422400 its reverse (4224441513213), we get a palindrome (316539585935613).

The spelling of 312315144422400 in words is "three hundred twelve trillion, three hundred fifteen billion, one hundred forty-four million, four hundred twenty-two thousand, four hundred".