313442889408000 has 1920 divisors, whose sum is σ = 1341873611020800. Its totient is φ = 71515127808000.

The previous prime is 313442889407971. The next prime is 313442889408053. The reversal of 313442889408000 is 804988244313.

313442889408000 is a `hidden beast` number, since 3 + 1 + 3 + 442 + 8 + 89 + 40 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5493283471 + ... + 5493340529.

It is an arithmetic number, because the mean of its divisors is an integer number (698892505740).

Almost surely, 2^{313442889408000} is an apocalyptic number.

313442889408000 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 313442889408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670936805510400).

313442889408000 is an abundant number, since it is smaller than the sum of its proper divisors (1028430721612800).

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

313442889408000 is a wasteful number, since it uses less digits than its factorization.

313442889408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57146 (or 57097 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 313442889408000 in words is "three hundred thirteen trillion, four hundred forty-two billion, eight hundred eighty-nine million, four hundred eight thousand".