4425104000 has 128 divisors (see below), whose sum is σ = 11066636880. Its totient is φ = 1759641600.

The previous prime is 4425103979. The next prime is 4425104041. The reversal of 4425104000 is 4015244.

It can be written as a sum of positive squares in 8 ways, for example, as 218803264 + 4206300736 = 14792^2 + 64856^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3087284 + ... + 3088716.

Almost surely, 2^4425104000 is an apocalyptic number.

4425104000 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 4425104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533318440).

4425104000 is an abundant number, since it is smaller than the sum of its proper divisors (6641532880).

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

4425104000 is a wasteful number, since it uses less digits than its factorization.

4425104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4425104000 is about 66521.4551855264. The cubic root of 4425104000 is about 1641.7530332682.

Adding to 4425104000 its reverse (4015244), we get a palindrome (4429119244).

The spelling of 4425104000 in words is "four billion, four hundred twenty-five million, one hundred four thousand".