3415400102120 has 64 divisors (see below), whose sum is σ = 8137562227200. Its totient is φ = 1285659612160.

The previous prime is 3415400102111. The next prime is 3415400102203. The reversal of 3415400102120 is 212010045143.

It is a super-2 number, since 2×3415400102120² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6180785 + ... + 6710655.

It is an arithmetic number, because the mean of its divisors is an integer number (127149409800).

Almost surely, 2^{3415400102120} is an apocalyptic number.

It is an amenable number.

3415400102120 is an abundant number, since it is smaller than the sum of its proper divisors (4722162125080).

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

3415400102120 is a wasteful number, since it uses less digits than its factorization.

3415400102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539378 (or 539374 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 3415400102120 its reverse (212010045143), we get a palindrome (3627410147263).

The spelling of 3415400102120 in words is "three trillion, four hundred fifteen billion, four hundred million, one hundred two thousand, one hundred twenty".