4618707442272 has 576 divisors, whose sum is σ = 16714078617600. Its totient is φ = 1175095434240.

The previous prime is 4618707442253. The next prime is 4618707442369. The reversal of 4618707442272 is 2722447078164.

4618707442272 is a `hidden beast` number, since 4 + 6 + 1 + 87 + 0 + 74 + 422 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222481429 + ... + 222502187.

It is an arithmetic number, because the mean of its divisors is an integer number (29017497600).

Almost surely, 2^{4618707442272} is an apocalyptic number.

4618707442272 is a gapful number since it is divisible by the number (42) 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 4618707442272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8357039308800).

4618707442272 is an abundant number, since it is smaller than the sum of its proper divisors (12095371175328).

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

4618707442272 is a wasteful number, since it uses less digits than its factorization.

4618707442272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20999 (or 20988 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 4618707442272 in words is "four trillion, six hundred eighteen billion, seven hundred seven million, four hundred forty-two thousand, two hundred seventy-two".