491197824000 has 1584 divisors, whose sum is σ = 2035971419040. Its totient is φ = 116740915200.

The previous prime is 491197823993. The next prime is 491197824043. The reversal of 491197824000 is 428791194.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16937855986 + ... + 16937856014.

Almost surely, 2^491197824000 is an apocalyptic number.

491197824000 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 491197824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017985709520).

491197824000 is an abundant number, since it is smaller than the sum of its proper divisors (1544773595040).

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

491197824000 is a wasteful number, since it uses less digits than its factorization.

491197824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 491197824000 in words is "four hundred ninety-one billion, one hundred ninety-seven million, eight hundred twenty-four thousand".