4425107632128 has 416 divisors, whose sum is σ = 13573459435520. Its totient is φ = 1423159787520.

The previous prime is 4425107632117. The next prime is 4425107632157. The reversal of 4425107632128 is 8212367015244.

4425107632128 is a `hidden beast` number, since 4 + 4 + 2 + 5 + 1 + 0 + 7 + 632 + 1 + 2 + 8 = 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 31 ways as a sum of consecutive naturals, for example, 1258203426 + ... + 1258206942.

Almost surely, 2^{4425107632128} is an apocalyptic number.

4425107632128 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 4425107632128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786729717760).

4425107632128 is an abundant number, since it is smaller than the sum of its proper divisors (9148351803392).

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

4425107632128 is a wasteful number, since it uses less digits than its factorization.

4425107632128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4425107632128 in words is "four trillion, four hundred twenty-five billion, one hundred seven million, six hundred thirty-two thousand, one hundred twenty-eight".