315445440000 has 200 divisors, whose sum is σ = 1050125008680. Its totient is φ = 84118528000.

The previous prime is 315445439993. The next prime is 315445440017. The reversal of 315445440000 is 44544513.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 315445440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 795706 + ... + 1124294.

Almost surely, 2^315445440000 is an apocalyptic number.

315445440000 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 315445440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525062504340).

315445440000 is an abundant number, since it is smaller than the sum of its proper divisors (734679568680).

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

315445440000 is an frugal number, since it uses more digits than its factorization.

315445440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328630 (or 328599 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 315445440000 its reverse (44544513), we get a palindrome (315489984513).

The spelling of 315445440000 in words is "three hundred fifteen billion, four hundred forty-five million, four hundred forty thousand".