492261011251200 has 2016 divisors, whose sum is σ = 1941445548282240. Its totient is φ = 123210458726400.

The previous prime is 492261011251193. The next prime is 492261011251313. The reversal of 492261011251200 is 2152110162294.

492261011251200 is a `hidden beast` number, since 4 + 9 + 2 + 2 + 610 + 1 + 1 + 25 + 12 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 483082444291 + ... + 483082445309.

It is an arithmetic number, because the mean of its divisors is an integer number (963018625140).

Almost surely, 2^{492261011251200} is an apocalyptic number.

492261011251200 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 492261011251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970722774141120).

492261011251200 is an abundant number, since it is smaller than the sum of its proper divisors (1449184537031040).

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

492261011251200 is a wasteful number, since it uses less digits than its factorization.

492261011251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 492261011251200 in words is "four hundred ninety-two trillion, two hundred sixty-one billion, eleven million, two hundred fifty-one thousand, two hundred".