491902192800 has 216 divisors, whose sum is σ = 1735689025980. Its totient is φ = 131089305600.

The previous prime is 491902192799. The next prime is 491902192823. The reversal of 491902192800 is 8291209194.

It can be written as a sum of positive squares in 6 ways, for example, as 463875415056 + 28026777744 = 681084^2 + 167412^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11563570 + ... + 11606030.

Almost surely, 2^491902192800 is an apocalyptic number.

491902192800 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 491902192800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867844512990).

491902192800 is an abundant number, since it is smaller than the sum of its proper divisors (1243786833180).

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

491902192800 is a wasteful number, since it uses less digits than its factorization.

491902192800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44096 (or 44080 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 491902192800 in words is "four hundred ninety-one billion, nine hundred two million, one hundred ninety-two thousand, eight hundred".