4045440000 has 660 divisors, whose sum is σ = 16038228624. Its totient is φ = 903168000.

The previous prime is 4045439989. The next prime is 4045440019. The reversal of 4045440000 is 445404.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 94079979 + ... + 94080021.

Almost surely, 2^4045440000 is an apocalyptic number.

4045440000 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 4045440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019114312).

4045440000 is an abundant number, since it is smaller than the sum of its proper divisors (11992788624).

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

4045440000 is an equidigital number, since it uses as much as digits as its factorization.

4045440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 4045440000 is about 63603.7734729631. The cubic root of 4045440000 is about 1593.3893916930.

Adding to 4045440000 its reverse (445404), we get a palindrome (4045885404).

The spelling of 4045440000 in words is "four billion, forty-five million, four hundred forty thousand".