313853245440 has 1152 divisors, whose sum is σ = 1252197273600. Its totient is φ = 65659207680.

The previous prime is 313853245427. The next prime is 313853245441. The reversal of 313853245440 is 44542358313.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 313853245392 and 313853245401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313853245441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3526440916 + ... + 3526441004.

It is an arithmetic number, because the mean of its divisors is an integer number (1086976800).

Almost surely, 2^313853245440 is an apocalyptic number.

313853245440 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 313853245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626098636800).

313853245440 is an abundant number, since it is smaller than the sum of its proper divisors (938344028160).

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

313853245440 is a wasteful number, since it uses less digits than its factorization.

313853245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 313853245440 in words is "three hundred thirteen billion, eight hundred fifty-three million, two hundred forty-five thousand, four hundred forty".