414314400415 has 16 divisors (see below), whose sum is σ = 497686775040. Its totient is φ = 331112033280.

The previous prime is 414314400403. The next prime is 414314400433. The reversal of 414314400415 is 514004413414.

It is a de Polignac number, because none of the positive numbers 2^k-414314400415 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23817541 + ... + 23834929.

It is an arithmetic number, because the mean of its divisors is an integer number (31105423440).

Almost surely, 2^414314400415 is an apocalyptic number.

414314400415 is a deficient number, since it is larger than the sum of its proper divisors (83372374625).

414314400415 is a wasteful number, since it uses less digits than its factorization.

414314400415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22002.

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 414314400415 its reverse (514004413414), we get a palindrome (928318813829).

The spelling of 414314400415 in words is "four hundred fourteen billion, three hundred fourteen million, four hundred thousand, four hundred fifteen".