4792413330432 has 1650 divisors, whose sum is σ = 18822006594952. Its totient is φ = 1189584175104.

The previous prime is 4792413330427. The next prime is 4792413330433. The reversal of 4792413330432 is 2340333142974.

4792413330432 is a `hidden beast` number, since 4 + 79 + 241 + 3 + 3 + 304 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4792413330433) by changing a digit.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 281906666488 + ... + 281906666504.

Almost surely, 2^{4792413330432} is an apocalyptic number.

4792413330432 is a gapful number since it is divisible by the number (42) 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 4792413330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411003297476).

4792413330432 is an abundant number, since it is smaller than the sum of its proper divisors (14029593264520).

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

4792413330432 is an frugal number, since it uses more digits than its factorization.

4792413330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 4792413330432 in words is "four trillion, seven hundred ninety-two billion, four hundred thirteen million, three hundred thirty thousand, four hundred thirty-two".