313953047040 has 320 divisors, whose sum is σ = 1048993431552. Its totient is φ = 79951872000.

The previous prime is 313953047033. The next prime is 313953047101. The reversal of 313953047040 is 40740359313.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 313953047040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160918065 + ... + 160920015.

Almost surely, 2^313953047040 is an apocalyptic number.

313953047040 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 313953047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524496715776).

313953047040 is an abundant number, since it is smaller than the sum of its proper divisors (735040384512).

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

313953047040 is a wasteful number, since it uses less digits than its factorization.

313953047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 313953047040 in words is "three hundred thirteen billion, nine hundred fifty-three million, forty-seven thousand, forty".