414441308160 has 1280 divisors, whose sum is σ = 1726525342080. Its totient is φ = 93994352640.

The previous prime is 414441308147. The next prime is 414441308173. The reversal of 414441308160 is 61803144414.

It is a happy number.

414441308160 is a `hidden beast` number, since 4 + 1 + 444 + 130 + 81 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (414441308147) and next prime (414441308173).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2481684397 + ... + 2481684563.

Almost surely, 2^414441308160 is an apocalyptic number.

414441308160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414441308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863262671040).

414441308160 is an abundant number, since it is smaller than the sum of its proper divisors (1312084033920).

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

414441308160 is a wasteful number, since it uses less digits than its factorization.

414441308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 414441308160 in words is "four hundred fourteen billion, four hundred forty-one million, three hundred eight thousand, one hundred sixty".