3415116556140 has 96 divisors (see below), whose sum is σ = 9748654110720. Its totient is φ = 893029248000.

The previous prime is 3415116556069. The next prime is 3415116556177. The reversal of 3415116556140 is 416556115143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3415116556092 and 3415116556101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216645 + ... + 2622435.

It is an arithmetic number, because the mean of its divisors is an integer number (101548480320).

Almost surely, 2^{3415116556140} is an apocalyptic number.

3415116556140 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 3415116556140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874327055360).

3415116556140 is an abundant number, since it is smaller than the sum of its proper divisors (6333537554580).

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

3415116556140 is a wasteful number, since it uses less digits than its factorization.

3415116556140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406263 (or 2406261 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 3415116556140 in words is "three trillion, four hundred fifteen billion, one hundred sixteen million, five hundred fifty-six thousand, one hundred forty".