315554854440 has 256 divisors, whose sum is σ = 1133803008000. Its totient is φ = 68693796864.

The previous prime is 315554854429. The next prime is 315554854543. The reversal of 315554854440 is 44458455513.

It is a self number, because there is not a number n which added to its sum of digits gives 315554854440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4466511 + ... + 4536609.

It is an arithmetic number, because the mean of its divisors is an integer number (4428918000).

Almost surely, 2^315554854440 is an apocalyptic number.

315554854440 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 315554854440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566901504000).

315554854440 is an abundant number, since it is smaller than the sum of its proper divisors (818248153560).

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

315554854440 is a wasteful number, since it uses less digits than its factorization.

315554854440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70376 (or 70372 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 48.

The spelling of 315554854440 in words is "three hundred fifteen billion, five hundred fifty-four million, eight hundred fifty-four thousand, four hundred forty".