3414401254320 has 80 divisors (see below), whose sum is σ = 12096735878400. Its totient is φ = 780434572032.

The previous prime is 3414401254309. The next prime is 3414401254333. The reversal of 3414401254320 is 234521044143.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1016189170 + ... + 1016192529.

It is an arithmetic number, because the mean of its divisors is an integer number (151209198480).

Almost surely, 2^{3414401254320} is an apocalyptic number.

3414401254320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414401254320 is an abundant number, since it is smaller than the sum of its proper divisors (8682334624080).

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

3414401254320 is a wasteful number, since it uses less digits than its factorization.

3414401254320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032381722 (or 2032381716 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 3414401254320 its reverse (234521044143), we get a palindrome (3648922298463).

The spelling of 3414401254320 in words is "three trillion, four hundred fourteen billion, four hundred one million, two hundred fifty-four thousand, three hundred twenty".