3414401254319 has 16 divisors (see below), whose sum is σ = 4035626115840. Its totient is φ = 2853472997760.

The previous prime is 3414401254309. The next prime is 3414401254333. The reversal of 3414401254319 is 9134521044143.

It is not a de Polignac number, because 3414401254319 - 2³² = 3410106287023 is a prime.

It is a super-2 number, since 2×3414401254319² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414401254309) by changing a digit.

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, 212303939 + ... + 212320020.

It is an arithmetic number, because the mean of its divisors is an integer number (252226632240).

Almost surely, 2^{3414401254319} is an apocalyptic number.

3414401254319 is a deficient number, since it is larger than the sum of its proper divisors (621224861521).

3414401254319 is a wasteful number, since it uses less digits than its factorization.

3414401254319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424624030.

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 3414401254319 in words is "three trillion, four hundred fourteen billion, four hundred one million, two hundred fifty-four thousand, three hundred nineteen".