4972011705360 has 960 divisors, whose sum is σ = 20225440488960. Its totient is φ = 1133216759808.

The previous prime is 4972011705359. The next prime is 4972011705373. The reversal of 4972011705360 is 635071102794.

4972011705360 is a `hidden beast` number, since 4 + 97 + 20 + 1 + 1 + 7 + 0 + 536 + 0 = 666.

It is a super-4 number, since 4×4972011705360⁴ (a number of 52 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4312238544 + ... + 4312239696.

It is an arithmetic number, because the mean of its divisors is an integer number (21068167176).

Almost surely, 2^{4972011705360} is an apocalyptic number.

4972011705360 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 4972011705360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112720244480).

4972011705360 is an abundant number, since it is smaller than the sum of its proper divisors (15253428783600).

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

4972011705360 is a wasteful number, since it uses less digits than its factorization.

4972011705360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 4972011705360 in words is "four trillion, nine hundred seventy-two billion, eleven million, seven hundred five thousand, three hundred sixty".