416720256232192 has 144 divisors (see below), whose sum is σ = 927458594463744. Its totient is φ = 185279947776000.

The previous prime is 416720256232187. The next prime is 416720256232331. The reversal of 416720256232192 is 291232652027614.

It is a super-3 number, since 3×416720256232192³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17186092 + ... + 33597652.

It is an arithmetic number, because the mean of its divisors is an integer number (6440684683776).

Almost surely, 2^{416720256232192} 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 416720256232192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463729297231872).

416720256232192 is an abundant number, since it is smaller than the sum of its proper divisors (510738338231552).

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

416720256232192 is a wasteful number, since it uses less digits than its factorization.

416720256232192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16411786 (or 16411772 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 416720256232192 in words is "four hundred sixteen trillion, seven hundred twenty billion, two hundred fifty-six million, two hundred thirty-two thousand, one hundred ninety-two".