491142872160 has 576 divisors, whose sum is σ = 1802146050432. Its totient is φ = 121485754368.

The previous prime is 491142872147. The next prime is 491142872203. The reversal of 491142872160 is 61278241194.

491142872160 is a `hidden beast` number, since 4 + 9 + 1 + 1 + 428 + 7 + 216 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 560025642 + ... + 560026518.

It is an arithmetic number, because the mean of its divisors is an integer number (3128725782).

Almost surely, 2^491142872160 is an apocalyptic number.

491142872160 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 491142872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901073025216).

491142872160 is an abundant number, since it is smaller than the sum of its proper divisors (1311003178272).

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

491142872160 is a wasteful number, since it uses less digits than its factorization.

491142872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 491142872160 in words is "four hundred ninety-one billion, one hundred forty-two million, eight hundred seventy-two thousand, one hundred sixty".