491102811924480 has 1440 divisors, whose sum is σ = 2137036479177600. Its totient is φ = 105648647307264.

The previous prime is 491102811924479. The next prime is 491102811924499. The reversal of 491102811924480 is 84429118201194.

491102811924480 is a `hidden beast` number, since 4 + 9 + 1 + 1 + 0 + 2 + 8 + 1 + 192 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1677810781 + ... + 1678103459.

It is an arithmetic number, because the mean of its divisors is an integer number (1484053110540).

Almost surely, 2^{491102811924480} is an apocalyptic number.

491102811924480 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 491102811924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068518239588800).

491102811924480 is an abundant number, since it is smaller than the sum of its proper divisors (1645933667253120).

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

491102811924480 is a wasteful number, since it uses less digits than its factorization.

491102811924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292759 (or 292713 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 491102811924480 in words is "four hundred ninety-one trillion, one hundred two billion, eight hundred eleven million, nine hundred twenty-four thousand, four hundred eighty".