491786332800 has 384 divisors, whose sum is σ = 1948662182400. Its totient is φ = 106491801600.

The previous prime is 491786332799. The next prime is 491786332811. The reversal of 491786332800 is 8233687194.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084215 + ... + 1469385.

It is an arithmetic number, because the mean of its divisors is an integer number (5074641100).

Almost surely, 2^491786332800 is an apocalyptic number.

491786332800 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 491786332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974331091200).

491786332800 is an abundant number, since it is smaller than the sum of its proper divisors (1456875849600).

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

491786332800 is a wasteful number, since it uses less digits than its factorization.

491786332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385224 (or 385207 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 491786332800 in words is "four hundred ninety-one billion, seven hundred eighty-six million, three hundred thirty-two thousand, eight hundred".