4972086213120 has 1440 divisors, whose sum is σ = 19807730616960. Its totient is φ = 1149620060160.

The previous prime is 4972086213113. The next prime is 4972086213167. The reversal of 4972086213120 is 213126802794.

4972086213120 is a `hidden beast` number, since 4 + 9 + 7 + 2 + 0 + 8 + 621 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 5283831850 + ... + 5283832790.

It is an arithmetic number, because the mean of its divisors is an integer number (13755368484).

Almost surely, 2^{4972086213120} is an apocalyptic number.

4972086213120 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 4972086213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9903865308480).

4972086213120 is an abundant number, since it is smaller than the sum of its proper divisors (14835644403840).

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

4972086213120 is a wasteful number, since it uses less digits than its factorization.

4972086213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4972086213120 in words is "four trillion, nine hundred seventy-two billion, eighty-six million, two hundred thirteen thousand, one hundred twenty".