414314111013321 has 16 divisors (see below), whose sum is σ = 553693603357440. Its totient is φ = 275572621503360.

The previous prime is 414314111013307. The next prime is 414314111013347. The reversal of 414314111013321 is 123310111413414.

It is a happy number.

It is not a de Polignac number, because 414314111013321 - 2⁵ = 414314111013289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414314111013421) 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, 73337601 + ... + 78784718.

It is an arithmetic number, because the mean of its divisors is an integer number (34605850209840).

Almost surely, 2^{414314111013321} is an apocalyptic number.

It is an amenable number.

414314111013321 is a deficient number, since it is larger than the sum of its proper divisors (139379492344119).

414314111013321 is a wasteful number, since it uses less digits than its factorization.

414314111013321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152124416.

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 414314111013321 its reverse (123310111413414), we get a palindrome (537624222426735).

The spelling of 414314111013321 in words is "four hundred fourteen trillion, three hundred fourteen billion, one hundred eleven million, thirteen thousand, three hundred twenty-one".