4448183040 has 576 divisors, whose sum is σ = 18343019520. Its totient is φ = 1012248576.

The previous prime is 4448183021. The next prime is 4448183041. The reversal of 4448183040 is 403818444.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4448182986 and 4448183004.

It is not an unprimeable number, because it can be changed into a prime (4448183041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19595407 + ... + 19595633.

It is an arithmetic number, because the mean of its divisors is an integer number (31845520).

Almost surely, 2^4448183040 is an apocalyptic number.

4448183040 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 4448183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9171509760).

4448183040 is an abundant number, since it is smaller than the sum of its proper divisors (13894836480).

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

4448183040 is an frugal number, since it uses more digits than its factorization.

4448183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4448183040 is about 66694.7002392244. The cubic root of 4448183040 is about 1644.6022621580.

The spelling of 4448183040 in words is "four billion, four hundred forty-eight million, one hundred eighty-three thousand, forty".