4408045488 has 360 divisors, whose sum is σ = 16187557680. Its totient is φ = 1144281600.

The previous prime is 4408045483. The next prime is 4408045507. The reversal of 4408045488 is 8845408044.

4408045488 is a `hidden beast` number, since 4 + 40 + 80 + 454 + 88 = 666.

It is a super-5 number, since 5×4408045488⁵ (a number of 49 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (4408045483) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2560468 + ... + 2562188.

It is an arithmetic number, because the mean of its divisors is an integer number (44965438).

Almost surely, 2^4408045488 is an apocalyptic number.

4408045488 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 4408045488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8093778840).

4408045488 is an abundant number, since it is smaller than the sum of its proper divisors (11779512192).

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

4408045488 is a wasteful number, since it uses less digits than its factorization.

4408045488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 4408045488 is about 66393.1132573251. The cubic root of 4408045488 is about 1639.6406966190.

The spelling of 4408045488 in words is "four billion, four hundred eight million, forty-five thousand, four hundred eighty-eight".