315634609440 has 384 divisors, whose sum is σ = 1151551537920. Its totient is φ = 80669343744.

The previous prime is 315634609439. The next prime is 315634609457. The reversal of 315634609440 is 44906436513.

315634609440 is a `hidden beast` number, since 3 + 1 + 5 + 6 + 34 + 609 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×315634609440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 10694544 + ... + 10724016.

It is an arithmetic number, because the mean of its divisors is an integer number (2998832130).

Almost surely, 2^315634609440 is an apocalyptic number.

315634609440 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 315634609440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575775768960).

315634609440 is an abundant number, since it is smaller than the sum of its proper divisors (835916928480).

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

315634609440 is a wasteful number, since it uses less digits than its factorization.

315634609440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29601 (or 29587 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 315634609440 in words is "three hundred fifteen billion, six hundred thirty-four million, six hundred nine thousand, four hundred forty".