4430040000 has 560 divisors, whose sum is σ = 16187318400. Its totient is φ = 1064448000.

The previous prime is 4430039993. The next prime is 4430040031. The reversal of 4430040000 is 400344.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66119967 + ... + 66120033.

Almost surely, 2^4430040000 is an apocalyptic number.

4430040000 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 4430040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8093659200).

4430040000 is an abundant number, since it is smaller than the sum of its proper divisors (11757278400).

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

4430040000 is a wasteful number, since it uses less digits than its factorization.

4430040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4430040000 is about 66558.5456571882. The cubic root of 4430040000 is about 1642.3632397733.

Adding to 4430040000 its reverse (400344), we get a palindrome (4430440344).

The spelling of 4430040000 in words is "four billion, four hundred thirty million, forty thousand".