4872121712640 has 3072 divisors, whose sum is σ = 23026377600000. Its totient is φ = 973860765696.

The previous prime is 4872121712629. The next prime is 4872121712657. The reversal of 4872121712640 is 462171212784.

4872121712640 is a `hidden beast` number, since 4 + 8 + 7 + 212 + 171 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 256427458551 + ... + 256427458569.

It is an arithmetic number, because the mean of its divisors is an integer number (7495565625).

Almost surely, 2^{4872121712640} is an apocalyptic number.

4872121712640 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 4872121712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11513188800000).

4872121712640 is an abundant number, since it is smaller than the sum of its proper divisors (18154255887360).

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

4872121712640 is an equidigital number, since it uses as much as digits as its factorization.

4872121712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 4872121712640 in words is "four trillion, eight hundred seventy-two billion, one hundred twenty-one million, seven hundred twelve thousand, six hundred forty".