491176425600 has 576 divisors, whose sum is σ = 2012017026240. Its totient is φ = 111763906560.

The previous prime is 491176425577. The next prime is 491176425613. The reversal of 491176425600 is 6524671194.

491176425600 is a `hidden beast` number, since 4 + 9 + 1 + 17 + 6 + 4 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45757834 + ... + 45768566.

It is an arithmetic number, because the mean of its divisors is an integer number (3493085115).

Almost surely, 2^491176425600 is an apocalyptic number.

491176425600 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 491176425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006008513120).

491176425600 is an abundant number, since it is smaller than the sum of its proper divisors (1520840600640).

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

491176425600 is a wasteful number, since it uses less digits than its factorization.

491176425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10997 (or 10977 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 491176425600 in words is "four hundred ninety-one billion, one hundred seventy-six million, four hundred twenty-five thousand, six hundred".