492679165440 has 1920 divisors, whose sum is σ = 2144202762240. Its totient is φ = 94206689280.

The previous prime is 492679165427. The next prime is 492679165441. The reversal of 492679165440 is 44561976294.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492679165441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5535720916 + ... + 5535721004.

It is an arithmetic number, because the mean of its divisors is an integer number (1116772272).

Almost surely, 2^492679165440 is an apocalyptic number.

492679165440 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 492679165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072101381120).

492679165440 is an abundant number, since it is smaller than the sum of its proper divisors (1651523596800).

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

492679165440 is a wasteful number, since it uses less digits than its factorization.

492679165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 492679165440 in words is "four hundred ninety-two billion, six hundred seventy-nine million, one hundred sixty-five thousand, four hundred forty".