491101388800 has 192 divisors, whose sum is σ = 1328656590000. Its totient is φ = 178579046400.

The previous prime is 491101388797. The next prime is 491101388803. The reversal of 491101388800 is 8883101194.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (491101388797) and next prime (491101388803).

It is not an unprimeable number, because it can be changed into a prime (491101388803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8983951 + ... + 9038449.

Almost surely, 2^491101388800 is an apocalyptic number.

491101388800 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 491101388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664328295000).

491101388800 is an abundant number, since it is smaller than the sum of its proper divisors (837555201200).

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

491101388800 is an equidigital number, since it uses as much as digits as its factorization.

491101388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54550 (or 54517 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 43.

Adding to 491101388800 its reverse (8883101194), we get a palindrome (499984489994).

The spelling of 491101388800 in words is "four hundred ninety-one billion, one hundred one million, three hundred eighty-eight thousand, eight hundred".