315104430000 has 400 divisors, whose sum is σ = 1076874289920. Its totient is φ = 79234176000.

The previous prime is 315104429909. The next prime is 315104430013. The reversal of 315104430000 is 34401513.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 37405789 + ... + 37414211.

Almost surely, 2^315104430000 is an apocalyptic number.

315104430000 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 315104430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538437144960).

315104430000 is an abundant number, since it is smaller than the sum of its proper divisors (761769859920).

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

315104430000 is a wasteful number, since it uses less digits than its factorization.

315104430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8526 (or 8505 counting only the distinct ones).

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

Adding to 315104430000 its reverse (34401513), we get a palindrome (315138831513).

The spelling of 315104430000 in words is "three hundred fifteen billion, one hundred four million, four hundred thirty thousand".