414124960440 has 64 divisors (see below), whose sum is σ = 1251858706560. Its totient is φ = 109590316160.

The previous prime is 414124960423. The next prime is 414124960471. The reversal of 414124960440 is 44069421414.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13156194 + ... + 13187633.

It is an arithmetic number, because the mean of its divisors is an integer number (19560292290).

Almost surely, 2^414124960440 is an apocalyptic number.

414124960440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414124960440 is an abundant number, since it is smaller than the sum of its proper divisors (837733746120).

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

414124960440 is a wasteful number, since it uses less digits than its factorization.

414124960440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26343972 (or 26343968 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 414124960440 in words is "four hundred fourteen billion, one hundred twenty-four million, nine hundred sixty thousand, four hundred forty".