315301440000 has 200 divisors, whose sum is σ = 1049645630880. Its totient is φ = 84080128000.

The previous prime is 315301439953. The next prime is 315301440007. The reversal of 315301440000 is 44103513.

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

It is not an unprimeable number, because it can be changed into a prime (315301440007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 795781 + ... + 1124219.

Almost surely, 2^315301440000 is an apocalyptic number.

315301440000 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 315301440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524822815440).

315301440000 is an abundant number, since it is smaller than the sum of its proper divisors (734344190880).

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

315301440000 is an frugal number, since it uses more digits than its factorization.

315301440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328480 (or 328449 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 315301440000 its reverse (44103513), we get a palindrome (315345543513).

The spelling of 315301440000 in words is "three hundred fifteen billion, three hundred one million, four hundred forty thousand".