491063040000 has 960 divisors, whose sum is σ = 1959342184800. Its totient is φ = 120766464000.

The previous prime is 491063039977. The next prime is 491063040001. The reversal of 491063040000 is 40360194.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×491063040000² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491063040001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 449279454 + ... + 449280546.

Almost surely, 2^491063040000 is an apocalyptic number.

491063040000 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 491063040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979671092400).

491063040000 is an abundant number, since it is smaller than the sum of its proper divisors (1468279144800).

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

491063040000 is a wasteful number, since it uses less digits than its factorization.

491063040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 491063040000 in words is "four hundred ninety-one billion, sixty-three million, forty thousand".