414256224120 has 128 divisors (see below), whose sum is σ = 1245777408000. Its totient is φ = 110201262080.

The previous prime is 414256224089. The next prime is 414256224157. The reversal of 414256224120 is 21422652414.

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 31 ways as a sum of consecutive naturals, for example, 101556241 + ... + 101560319.

It is an arithmetic number, because the mean of its divisors is an integer number (9732636000).

Almost surely, 2^414256224120 is an apocalyptic number.

414256224120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414256224120 is an abundant number, since it is smaller than the sum of its proper divisors (831521183880).

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

414256224120 is a wasteful number, since it uses less digits than its factorization.

414256224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933 (or 5929 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 414256224120 its reverse (21422652414), we get a palindrome (435678876534).

The spelling of 414256224120 in words is "four hundred fourteen billion, two hundred fifty-six million, two hundred twenty-four thousand, one hundred twenty".