4404426225600 has 336 divisors, whose sum is σ = 15047539038720. Its totient is φ = 1126497792000.

The previous prime is 4404426225503. The next prime is 4404426225601. The reversal of 4404426225600 is 65226244044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404426225601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20914429 + ... + 21123971.

Almost surely, 2^{4404426225600} is an apocalyptic number.

4404426225600 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 4404426225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523769519360).

4404426225600 is an abundant number, since it is smaller than the sum of its proper divisors (10643112813120).

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

4404426225600 is a wasteful number, since it uses less digits than its factorization.

4404426225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209748 (or 209733 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

The spelling of 4404426225600 in words is "four trillion, four hundred four billion, four hundred twenty-six million, two hundred twenty-five thousand, six hundred".