492429093120 has 360 divisors, whose sum is σ = 1783261440576. Its totient is φ = 129730056192.

The previous prime is 492429093113. The next prime is 492429093157. The reversal of 492429093120 is 21390924294.

492429093120 is a `hidden beast` number, since 4 + 9 + 242 + 90 + 9 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 8576829 + ... + 8634051.

Almost surely, 2^492429093120 is an apocalyptic number.

492429093120 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 492429093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891630720288).

492429093120 is an abundant number, since it is smaller than the sum of its proper divisors (1290832347456).

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

492429093120 is an equidigital number, since it uses as much as digits as its factorization.

492429093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57339 (or 57316 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 492429093120 in words is "four hundred ninety-two billion, four hundred twenty-nine million, ninety-three thousand, one hundred twenty".