492168193440 has 768 divisors, whose sum is σ = 1973033717760. Its totient is φ = 100159488000.

The previous prime is 492168193427. The next prime is 492168193457. The reversal of 492168193440 is 44391861294.

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 127 ways as a sum of consecutive naturals, for example, 944660380 + ... + 944660900.

It is an arithmetic number, because the mean of its divisors is an integer number (2569054320).

Almost surely, 2^492168193440 is an apocalyptic number.

492168193440 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 492168193440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986516858880).

492168193440 is an abundant number, since it is smaller than the sum of its proper divisors (1480865524320).

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

492168193440 is a wasteful number, since it uses less digits than its factorization.

492168193440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 492168193440 in words is "four hundred ninety-two billion, one hundred sixty-eight million, one hundred ninety-three thousand, four hundred forty".