4790017344000 has 1920 divisors, whose sum is σ = 19747444654080. Its totient is φ = 1024192512000.

The previous prime is 4790017343977. The next prime is 4790017344031. The reversal of 4790017344000 is 4437100974.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4790017344000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22701503895 + ... + 22701504105.

It is an arithmetic number, because the mean of its divisors is an integer number (10285127424).

Almost surely, 2^{4790017344000} is an apocalyptic number.

4790017344000 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 4790017344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9873722327040).

4790017344000 is an abundant number, since it is smaller than the sum of its proper divisors (14957427310080).

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

4790017344000 is a wasteful number, since it uses less digits than its factorization.

4790017344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 4790017344000 in words is "four trillion, seven hundred ninety billion, seventeen million, three hundred forty-four thousand".