414912168944 has 320 divisors, whose sum is σ = 1069314892800. Its totient is φ = 151371472896.

The previous prime is 414912168943. The next prime is 414912168947. The reversal of 414912168944 is 449861219414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414912168943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676854782 + ... + 676855394.

It is an arithmetic number, because the mean of its divisors is an integer number (3341609040).

Almost surely, 2^414912168944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414912168944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534657446400).

414912168944 is an abundant number, since it is smaller than the sum of its proper divisors (654402723856).

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

414912168944 is a wasteful number, since it uses less digits than its factorization.

414912168944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1266 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 53.

The spelling of 414912168944 in words is "four hundred fourteen billion, nine hundred twelve million, one hundred sixty-eight thousand, nine hundred forty-four".