414959959414 has 64 divisors (see below), whose sum is σ = 835913594880. Its totient is φ = 149202414720.

The previous prime is 414959959399. The next prime is 414959959417.

It is a happy number.

414959959414 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414959959417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9806707 + ... + 9848929.

It is an arithmetic number, because the mean of its divisors is an integer number (13061149920).

Almost surely, 2^414959959414 is an apocalyptic number.

414959959414 is an abundant number, since it is smaller than the sum of its proper divisors (420953635466).

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

414959959414 is a wasteful number, since it uses less digits than its factorization.

414959959414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47165.

The product of its digits is 41990400, while the sum is 64.

The spelling of 414959959414 in words is "four hundred fourteen billion, nine hundred fifty-nine million, nine hundred fifty-nine thousand, four hundred fourteen".