4435225344 has 216 divisors, whose sum is σ = 14061902400. Its totient is φ = 1333278720.

The previous prime is 4435225321. The next prime is 4435225357.

4435225344 is a `hidden beast` number, since 4 + 43 + 522 + 53 + 44 = 666.

4435225344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4435225299 and 4435225308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3522187 + ... + 3523445.

It is an arithmetic number, because the mean of its divisors is an integer number (65101400).

Almost surely, 2^4435225344 is an apocalyptic number.

4435225344 is a gapful number since it is divisible by the number (44) 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 4435225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030951200).

4435225344 is an abundant number, since it is smaller than the sum of its proper divisors (9626677056).

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

4435225344 is a wasteful number, since it uses less digits than its factorization.

4435225344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1414 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 4435225344 is about 66597.4875201760. The cubic root of 4435225344 is about 1643.0037831090.

It can be divided in two parts, 44352 and 25344, that added together give a palindrome (69696).

The spelling of 4435225344 in words is "four billion, four hundred thirty-five million, two hundred twenty-five thousand, three hundred forty-four".