414624343426414 has 24 divisors (see below), whose sum is σ = 683671649267880. Its totient is φ = 188450315483760.

The previous prime is 414624343426399. The next prime is 414624343426427.

414624343426414 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66535149 + ... + 72499480.

It is an arithmetic number, because the mean of its divisors is an integer number (28486318719495).

Almost surely, 2^{414624343426414} is an apocalyptic number.

414624343426414 is a deficient number, since it is larger than the sum of its proper divisors (269047305841466).

414624343426414 is a wasteful number, since it uses less digits than its factorization.

414624343426414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139046976 (or 139046965 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 52.

The spelling of 414624343426414 in words is "four hundred fourteen trillion, six hundred twenty-four billion, three hundred forty-three million, four hundred twenty-six thousand, four hundred fourteen".