412214116608 has 1080 divisors, whose sum is σ = 1542826897920. Its totient is φ = 108829163520.

The previous prime is 412214116591. The next prime is 412214116619. The reversal of 412214116608 is 806611412214.

412214116608 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 1 + 41 + 1 + 6 + 608 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 724453348 + ... + 724453916.

It is an arithmetic number, because the mean of its divisors is an integer number (1428543424).

Almost surely, 2^412214116608 is an apocalyptic number.

412214116608 is a gapful number since it is divisible by the number (48) 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 412214116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771413448960).

412214116608 is an abundant number, since it is smaller than the sum of its proper divisors (1130612781312).

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

412214116608 is a wasteful number, since it uses less digits than its factorization.

412214116608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 412214116608 in words is "four hundred twelve billion, two hundred fourteen million, one hundred sixteen thousand, six hundred eight".