491210438400 has 1620 divisors, whose sum is σ = 2055749173632. Its totient is φ = 115568640000.

The previous prime is 491210438353. The next prime is 491210438423. The reversal of 491210438400 is 4834012194.

It is a happy number.

491210438400 is a `hidden beast` number, since 4 + 9 + 1 + 210 + 4 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 179 ways as a sum of consecutive naturals, for example, 2571782305 + ... + 2571782495.

Almost surely, 2^491210438400 is an apocalyptic number.

491210438400 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 491210438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027874586816).

491210438400 is an abundant number, since it is smaller than the sum of its proper divisors (1564538735232).

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

491210438400 is a wasteful number, since it uses less digits than its factorization.

491210438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 491210438400 in words is "four hundred ninety-one billion, two hundred ten million, four hundred thirty-eight thousand, four hundred".