814007400814 has 16 divisors (see below), whose sum is σ = 1265731146288. Its totient is φ = 392302628352.

The previous prime is 814007400769. The next prime is 814007400827. The reversal of 814007400814 is 418004700418.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51394419 + ... + 51410254.

It is an arithmetic number, because the mean of its divisors is an integer number (79108196643).

Almost surely, 2^814007400814 is an apocalyptic number.

814007400814 is a deficient number, since it is larger than the sum of its proper divisors (451723745474).

814007400814 is a wasteful number, since it uses less digits than its factorization.

814007400814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102804819.

The product of its (nonzero) digits is 28672, while the sum is 37.

814007400814 divided by its sum of digits (37) gives a palindrome (22000200022).

The spelling of 814007400814 in words is "eight hundred fourteen billion, seven million, four hundred thousand, eight hundred fourteen".