4716120000000 has 320 divisors, whose sum is σ = 15705407450304. Its totient is φ = 1257600000000.

The previous prime is 4716119999989. The next prime is 4716120000017. The reversal of 4716120000000 is 216174.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 119980350 + ... + 120019650.

Almost surely, 2^{4716120000000} is an apocalyptic number.

4716120000000 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 4716120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7852703725152).

4716120000000 is an abundant number, since it is smaller than the sum of its proper divisors (10989287450304).

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

4716120000000 is an frugal number, since it uses more digits than its factorization.

4716120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39357 (or 39311 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 4716120000000 its reverse (216174), we get a palindrome (4716120216174).

The spelling of 4716120000000 in words is "four trillion, seven hundred sixteen billion, one hundred twenty million", and thus it is an aban number.