4791238656000 has 1216 divisors, whose sum is σ = 17525043753984. Its totient is φ = 1157627904000.

The previous prime is 4791238655989. The next prime is 4791238656041. The reversal of 4791238656000 is 6568321974.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78544895970 + ... + 78544896030.

It is a 1-persistent number, because it is pandigital, but 2⋅4791238656000 = 9582477312000 is not.

Almost surely, 2^{4791238656000} is an apocalyptic number.

4791238656000 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 4791238656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8762521876992).

4791238656000 is an abundant number, since it is smaller than the sum of its proper divisors (12733805097984).

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

4791238656000 is an frugal number, since it uses more digits than its factorization.

4791238656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 4791238656000 in words is "four trillion, seven hundred ninety-one billion, two hundred thirty-eight million, six hundred fifty-six thousand".