4979201310720 has 3840 divisors, whose sum is σ = 24299245555200. Its totient is φ = 963158999040.

The previous prime is 4979201310679. The next prime is 4979201310773. The reversal of 4979201310720 is 270131029794.

4979201310720 is a `hidden beast` number, since 49 + 79 + 201 + 310 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 160619397105 + ... + 160619397135.

It is an arithmetic number, because the mean of its divisors is an integer number (6327928530).

Almost surely, 2^{4979201310720} is an apocalyptic number.

4979201310720 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 4979201310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12149622777600).

4979201310720 is an abundant number, since it is smaller than the sum of its proper divisors (19320044244480).

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

4979201310720 is a wasteful number, since it uses less digits than its factorization.

4979201310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 4979201310720 in words is "four trillion, nine hundred seventy-nine billion, two hundred one million, three hundred ten thousand, seven hundred twenty".