4792210820320 has 384 divisors, whose sum is σ = 14734468933632. Its totient is φ = 1429473484800.

The previous prime is 4792210820311. The next prime is 4792210820351. The reversal of 4792210820320 is 230280122974.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 27720069 + ... + 27892411.

It is an arithmetic number, because the mean of its divisors is an integer number (38371012848).

Almost surely, 2^{4792210820320} is an apocalyptic number.

4792210820320 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 4792210820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7367234466816).

4792210820320 is an abundant number, since it is smaller than the sum of its proper divisors (9942258113312).

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

4792210820320 is a wasteful number, since it uses less digits than its factorization.

4792210820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172474 (or 172466 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 4792210820320 in words is "four trillion, seven hundred ninety-two billion, two hundred ten million, eight hundred twenty thousand, three hundred twenty".