315314130540000 has 240 divisors, whose sum is σ = 1034322383888640. Its totient is φ = 84081412800000.

The previous prime is 315314130539977. The next prime is 315314130540011. The reversal of 315314130540000 is 45031413513.

It is a tau number, because it is divible by the number of its divisors (240).

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 315314130540000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3651496825 + ... + 3651583175.

It is an arithmetic number, because the mean of its divisors is an integer number (4309676599536).

Almost surely, 2^{315314130540000} is an apocalyptic number.

315314130540000 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 315314130540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517161191944320).

315314130540000 is an abundant number, since it is smaller than the sum of its proper divisors (719008253348640).

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

315314130540000 is an equidigital number, since it uses as much as digits as its factorization.

315314130540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147243 (or 147220 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 315314130540000 its reverse (45031413513), we get a palindrome (315359161953513).

The spelling of 315314130540000 in words is "three hundred fifteen trillion, three hundred fourteen billion, one hundred thirty million, five hundred forty thousand".