415310115120 has 80 divisors (see below), whose sum is σ = 1299961059072. Its totient is φ = 109674120960.

The previous prime is 415310115113. The next prime is 415310115127. The reversal of 415310115120 is 21511013514.

It is an interprime number because it is at equal distance from previous prime (415310115113) and next prime (415310115127).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×415310115120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (415310115127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8375566 + ... + 8425005.

Almost surely, 2^415310115120 is an apocalyptic number.

415310115120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415310115120 is an abundant number, since it is smaller than the sum of its proper divisors (884650943952).

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

415310115120 is a wasteful number, since it uses less digits than its factorization.

415310115120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16800690 (or 16800684 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 415310115120 its reverse (21511013514), we get a palindrome (436821128634).

The spelling of 415310115120 in words is "four hundred fifteen billion, three hundred ten million, one hundred fifteen thousand, one hundred twenty".