4284427072608 has 144 divisors (see below), whose sum is σ = 12311478073440. Its totient is φ = 1413185937408.

The previous prime is 4284427072561. The next prime is 4284427072621. The reversal of 4284427072608 is 8062707244824.

4284427072608 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 4 + 27 + 0 + 7 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280441866 + ... + 280457142.

It is an arithmetic number, because the mean of its divisors is an integer number (85496375510).

Almost surely, 2^{4284427072608} is an apocalyptic number.

4284427072608 is a gapful number since it is divisible by the number (48) 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 4284427072608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155739036720).

4284427072608 is an abundant number, since it is smaller than the sum of its proper divisors (8027051000832).

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

4284427072608 is a wasteful number, since it uses less digits than its factorization.

4284427072608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25429 (or 25418 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 4284427072608 in words is "four trillion, two hundred eighty-four billion, four hundred twenty-seven million, seventy-two thousand, six hundred eight".