4244201925600 has 1152 divisors, whose sum is σ = 18146870525952. Its totient is φ = 836075520000.

The previous prime is 4244201925529. The next prime is 4244201925611. The reversal of 4244201925600 is 65291024424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 471521100 + ... + 471530100.

It is an arithmetic number, because the mean of its divisors is an integer number (15752491776).

Almost surely, 2^{4244201925600} is an apocalyptic number.

4244201925600 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 4244201925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9073435262976).

4244201925600 is an abundant number, since it is smaller than the sum of its proper divisors (13902668600352).

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

4244201925600 is a wasteful number, since it uses less digits than its factorization.

4244201925600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9188 (or 9175 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 4244201925600 in words is "four trillion, two hundred forty-four billion, two hundred one million, nine hundred twenty-five thousand, six hundred".