414322114014 has 16 divisors (see below), whose sum is σ = 920715809040. Its totient is φ = 138107371320.

The previous prime is 414322113979. The next prime is 414322114027. The reversal of 414322114014 is 410411223414.

414322114014 is a `hidden beast` number, since 4 + 1 + 43 + 2 + 211 + 401 + 4 = 666.

It is a super-2 number, since 2×414322114014² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3836315817 + ... + 3836315924.

It is an arithmetic number, because the mean of its divisors is an integer number (57544738065).

Almost surely, 2^414322114014 is an apocalyptic number.

414322114014 is an abundant number, since it is smaller than the sum of its proper divisors (506393695026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414322114014 is a wasteful number, since it uses less digits than its factorization.

414322114014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672631752 (or 7672631746 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 414322114014 its reverse (410411223414), we get a palindrome (824733337428).

The spelling of 414322114014 in words is "four hundred fourteen billion, three hundred twenty-two million, one hundred fourteen thousand, fourteen".