492642344113920 has 3888 divisors, whose sum is σ = 2434108274488800. Its totient is φ = 94488238817280.

The previous prime is 492642344113903. The next prime is 492642344113951. The reversal of 492642344113920 is 29311443246294.

492642344113920 is a `hidden beast` number, since 4 + 9 + 2 + 6 + 4 + 234 + 4 + 11 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-3 number, since 3×492642344113920³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 23974019806 + ... + 23974040354.

Almost surely, 2^{492642344113920} is an apocalyptic number.

492642344113920 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 492642344113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217054137244400).

492642344113920 is an abundant number, since it is smaller than the sum of its proper divisors (1941465930374880).

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

492642344113920 is a wasteful number, since it uses less digits than its factorization.

492642344113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20634 (or 20590 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 492642344113920 in words is "four hundred ninety-two trillion, six hundred forty-two billion, three hundred forty-four million, one hundred thirteen thousand, nine hundred twenty".