313198034400 has 432 divisors, whose sum is σ = 1182287328768. Its totient is φ = 80823744000.

The previous prime is 313198034393. The next prime is 313198034437. The reversal of 313198034400 is 4430891313.

313198034400 is a `hidden beast` number, since 3 + 131 + 9 + 80 + 3 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6000415 + ... + 6052385.

It is an arithmetic number, because the mean of its divisors is an integer number (2736776224).

Almost surely, 2^313198034400 is an apocalyptic number.

313198034400 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 313198034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591143664384).

313198034400 is an abundant number, since it is smaller than the sum of its proper divisors (869089294368).

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

313198034400 is a wasteful number, since it uses less digits than its factorization.

313198034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52037 (or 52012 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 313198034400 in words is "three hundred thirteen billion, one hundred ninety-eight million, thirty-four thousand, four hundred".