491744400507360 has 1152 divisors, whose sum is σ = 2255873807416320. Its totient is φ = 94203791769600.

The previous prime is 491744400507323. The next prime is 491744400507431. The reversal of 491744400507360 is 63705004447194.

491744400507360 is a `hidden beast` number, since 4 + 9 + 1 + 74 + 4 + 4 + 0 + 0 + 507 + 3 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 491744400507297 and 491744400507306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1165914115 + ... + 1166335805.

It is an arithmetic number, because the mean of its divisors is an integer number (1958223791160).

Almost surely, 2^{491744400507360} is an apocalyptic number.

491744400507360 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 491744400507360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127936903708160).

491744400507360 is an abundant number, since it is smaller than the sum of its proper divisors (1764129406908960).

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

491744400507360 is a wasteful number, since it uses less digits than its factorization.

491744400507360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422552 (or 422541 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 491744400507360 in words is "four hundred ninety-one trillion, seven hundred forty-four billion, four hundred million, five hundred seven thousand, three hundred sixty".