491195296972800 has 4080 divisors, whose sum is σ = 2319316737978240. Its totient is φ = 100046229995520.

The previous prime is 491195296972759. The next prime is 491195296972843. The reversal of 491195296972800 is 8279692591194.

491195296972800 is a `hidden beast` number, since 4 + 9 + 1 + 1 + 9 + 529 + 6 + 97 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4080).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 239 ways as a sum of consecutive naturals, for example, 300058213582 + ... + 300058215218.

Almost surely, 2^{491195296972800} is an apocalyptic number.

491195296972800 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 491195296972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159658368989120).

491195296972800 is an abundant number, since it is smaller than the sum of its proper divisors (1828121441005440).

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

491195296972800 is a wasteful number, since it uses less digits than its factorization.

491195296972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 491195296972800 in words is "four hundred ninety-one trillion, one hundred ninety-five billion, two hundred ninety-six million, nine hundred seventy-two thousand, eight hundred".