4430400000 has 480 divisors, whose sum is σ = 16111218816. Its totient is φ = 1075200000.

The previous prime is 4430399989. The next prime is 4430400097. The reversal of 4430400000 is 40344.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62399965 + ... + 62400035.

Almost surely, 2^4430400000 is an apocalyptic number.

4430400000 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 4430400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055609408).

4430400000 is an abundant number, since it is smaller than the sum of its proper divisors (11680818816).

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

4430400000 is an frugal number, since it uses more digits than its factorization.

4430400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

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

The square root of 4430400000 is about 66561.2499882627. The cubic root of 4430400000 is about 1642.4077265613.

Adding to 4430400000 its reverse (40344), we get a palindrome (4430440344).

The spelling of 4430400000 in words is "four billion, four hundred thirty million, four hundred thousand".