4488121638 has 192 divisors, whose sum is σ = 13126643712. Its totient is φ = 1070288640.

The previous prime is 4488121609. The next prime is 4488121643. The reversal of 4488121638 is 8361218844.

4488121638 is a `hidden beast` number, since 4 + 4 + 8 + 8 + 1 + 2 + 1 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4488121593 and 4488121602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4017456 + ... + 4018572.

It is an arithmetic number, because the mean of its divisors is an integer number (68367936).

Almost surely, 2^4488121638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4488121638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563321856).

4488121638 is an abundant number, since it is smaller than the sum of its proper divisors (8638522074).

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

4488121638 is a wasteful number, since it uses less digits than its factorization.

4488121638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1376 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 4488121638 is about 66993.4447390191. Note that the first 3 decimals coincide. The cubic root of 4488121638 is about 1649.5096967434.

The spelling of 4488121638 in words is "four billion, four hundred eighty-eight million, one hundred twenty-one thousand, six hundred thirty-eight".