491212044400 has 720 divisors, whose sum is σ = 1552651873920. Its totient is φ = 147561523200.

The previous prime is 491212044319. The next prime is 491212044457. The reversal of 491212044400 is 4440212194.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1108830579 + ... + 1108831021.

It is an arithmetic number, because the mean of its divisors is an integer number (2156460936).

Almost surely, 2^491212044400 is an apocalyptic number.

491212044400 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 491212044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776325936960).

491212044400 is an abundant number, since it is smaller than the sum of its proper divisors (1061439829520).

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

491212044400 is a wasteful number, since it uses less digits than its factorization.

491212044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 491212044400 its reverse (4440212194), we get a palindrome (495652256594).

The spelling of 491212044400 in words is "four hundred ninety-one billion, two hundred twelve million, forty-four thousand, four hundred".