492122451744 has 480 divisors, whose sum is σ = 1806754916736. Its totient is φ = 127660769280.

The previous prime is 492122451719. The next prime is 492122451757. The reversal of 492122451744 is 447154221294.

492122451744 is a `hidden beast` number, since 4 + 9 + 2 + 122 + 4 + 517 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 492122451744.

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 79 ways as a sum of consecutive naturals, for example, 289994704 + ... + 289996400.

Almost surely, 2^492122451744 is an apocalyptic number.

492122451744 is a gapful number since it is divisible by the number (44) 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 492122451744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903377458368).

492122451744 is an abundant number, since it is smaller than the sum of its proper divisors (1314632464992).

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

492122451744 is a wasteful number, since it uses less digits than its factorization.

492122451744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3173 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 492122451744 in words is "four hundred ninety-two billion, one hundred twenty-two million, four hundred fifty-one thousand, seven hundred forty-four".