4425841200 has 480 divisors, whose sum is σ = 16612722432. Its totient is φ = 1003622400.

The previous prime is 4425841193. The next prime is 4425841207. The reversal of 4425841200 is 21485244.

It is an interprime number because it is at equal distance from previous prime (4425841193) and next prime (4425841207).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4425841207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27152319 + ... + 27152481.

Almost surely, 2^4425841200 is an apocalyptic number.

4425841200 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 4425841200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8306361216).

4425841200 is an abundant number, since it is smaller than the sum of its proper divisors (12186881232).

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

4425841200 is a wasteful number, since it uses less digits than its factorization.

4425841200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 4425841200 is about 66526.9960241705. The cubic root of 4425841200 is about 1641.8441974633.

It can be divided in two parts, 44258 and 41200, that added together give a palindrome (85458).

The spelling of 4425841200 in words is "four billion, four hundred twenty-five million, eight hundred forty-one thousand, two hundred".