313785457440 has 768 divisors, whose sum is σ = 1261805174784. Its totient is φ = 63782092800.

The previous prime is 313785457409. The next prime is 313785457451. The reversal of 313785457440 is 44754587313.

It is a super-2 number, since 2×313785457440² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148641985 + ... + 148644095.

It is an arithmetic number, because the mean of its divisors is an integer number (1642975488).

Almost surely, 2^313785457440 is an apocalyptic number.

313785457440 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 313785457440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630902587392).

313785457440 is an abundant number, since it is smaller than the sum of its proper divisors (948019717344).

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

313785457440 is a wasteful number, since it uses less digits than its factorization.

313785457440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 313785457440 in words is "three hundred thirteen billion, seven hundred eighty-five million, four hundred fifty-seven thousand, four hundred forty".