492742132485120 has 1760 divisors, whose sum is σ = 2133870696308736. Its totient is φ = 106334473420800.

The previous prime is 492742132485103. The next prime is 492742132485223. The reversal of 492742132485120 is 21584231247294.

492742132485120 is a `hidden beast` number, since 4 + 9 + 2 + 7 + 4 + 2 + 1 + 32 + 485 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3689697069 + ... + 3689830611.

Almost surely, 2^{492742132485120} is an apocalyptic number.

492742132485120 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 492742132485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066935348154368).

492742132485120 is an abundant number, since it is smaller than the sum of its proper divisors (1641128563823616).

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

492742132485120 is a wasteful number, since it uses less digits than its factorization.

492742132485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133659 (or 133632 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 492742132485120 in words is "four hundred ninety-two trillion, seven hundred forty-two billion, one hundred thirty-two million, four hundred eighty-five thousand, one hundred twenty".