315114410000 has 400 divisors, whose sum is σ = 847330767360. Its totient is φ = 112769280000.

The previous prime is 315114409963. The next prime is 315114410003. The reversal of 315114410000 is 14411513.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (315114410003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 626469749 + ... + 626470251.

Almost surely, 2^315114410000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315114410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423665383680).

315114410000 is an abundant number, since it is smaller than the sum of its proper divisors (532216357360).

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

315114410000 is a wasteful number, since it uses less digits than its factorization.

315114410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 315114410000 its reverse (14411513), we get a palindrome (315128821513).

The spelling of 315114410000 in words is "three hundred fifteen billion, one hundred fourteen million, four hundred ten thousand".