4093851225600 has 360 divisors, whose sum is σ = 14658982869960. Its totient is φ = 1091081256960.

The previous prime is 4093851225593. The next prime is 4093851225623. The reversal of 4093851225600 is 65221583904.

4093851225600 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 8 + 5 + 12 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 227971822 + ... + 227989778.

It is an arithmetic number, because the mean of its divisors is an integer number (40719396861).

Almost surely, 2^{4093851225600} is an apocalyptic number.

4093851225600 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 4093851225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7329491434980).

4093851225600 is an abundant number, since it is smaller than the sum of its proper divisors (10565131644360).

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

4093851225600 is a wasteful number, since it uses less digits than its factorization.

4093851225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19970 (or 19946 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 4093851225600 in words is "four trillion, ninety-three billion, eight hundred fifty-one million, two hundred twenty-five thousand, six hundred".