414020504301311 has 16 divisors (see below), whose sum is σ = 419726863299744. Its totient is φ = 408343564437504.

The previous prime is 414020504301277. The next prime is 414020504301347. The reversal of 414020504301311 is 113103405020414.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414020504301311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414020504301511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1298879291 + ... + 1299198003.

It is an arithmetic number, because the mean of its divisors is an integer number (26232928956234).

Almost surely, 2^{414020504301311} is an apocalyptic number.

414020504301311 is a deficient number, since it is larger than the sum of its proper divisors (5706358998433).

414020504301311 is a wasteful number, since it uses less digits than its factorization.

414020504301311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364810.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 414020504301311 its reverse (113103405020414), we get a palindrome (527123909321725).

The spelling of 414020504301311 in words is "four hundred fourteen trillion, twenty billion, five hundred four million, three hundred one thousand, three hundred eleven".