4791213772800 has 1248 divisors, whose sum is σ = 19591618056192. Its totient is φ = 1005980221440.

The previous prime is 4791213772799. The next prime is 4791213772843. The reversal of 4791213772800 is 82773121974.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10259558167 + ... + 10259558633.

It is an arithmetic number, because the mean of its divisors is an integer number (15698411904).

Almost surely, 2^{4791213772800} is an apocalyptic number.

4791213772800 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 4791213772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9795809028096).

4791213772800 is an abundant number, since it is smaller than the sum of its proper divisors (14800404283392).

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

4791213772800 is a wasteful number, since it uses less digits than its factorization.

4791213772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 4791213772800 in words is "four trillion, seven hundred ninety-one billion, two hundred thirteen million, seven hundred seventy-two thousand, eight hundred".