4488105968640 has 1188 divisors, whose sum is σ = 18390514134564. Its totient is φ = 1009087414272.

The previous prime is 4488105968539. The next prime is 4488105968641. The reversal of 4488105968640 is 468695018844.

4488105968640 is a `hidden beast` number, since 4 + 488 + 1 + 0 + 5 + 96 + 8 + 64 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1571963904 + 4486534004736 = 39648^2 + 2118144^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4488105968641) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12032455494 + ... + 12032455866.

It is an arithmetic number, because the mean of its divisors is an integer number (15480230753).

Almost surely, 2^{4488105968640} is an apocalyptic number.

4488105968640 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 4488105968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9195257067282).

4488105968640 is an abundant number, since it is smaller than the sum of its proper divisors (13902408165924).

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

4488105968640 is a wasteful number, since it uses less digits than its factorization.

4488105968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 4488105968640 in words is "four trillion, four hundred eighty-eight billion, one hundred five million, nine hundred sixty-eight thousand, six hundred forty".