3400505414401 has 16 divisors (see below), whose sum is σ = 3647464525440. Its totient is φ = 3160359745920.

The previous prime is 3400505414399. The next prime is 3400505414413. The reversal of 3400505414401 is 1044145050043.

It is a cyclic number.

It is not a de Polignac number, because 3400505414401 - 2¹ = 3400505414399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3400505484401) 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, 8166021 + ... + 8572333.

It is an arithmetic number, because the mean of its divisors is an integer number (227966532840).

Almost surely, 2^{3400505414401} is an apocalyptic number.

It is an amenable number.

3400505414401 is a deficient number, since it is larger than the sum of its proper divisors (246959111039).

3400505414401 is a wasteful number, since it uses less digits than its factorization.

3400505414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414696.

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 3400505414401 in words is "three trillion, four hundred billion, five hundred five million, four hundred fourteen thousand, four hundred one".