4085599413600 has 576 divisors, whose sum is σ = 15309520128000. Its totient is φ = 1050290841600.

The previous prime is 4085599413569. The next prime is 4085599413613. The reversal of 4085599413600 is 63149955804.

4085599413600 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 599 + 41 + 3 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 432837681 + ... + 432847119.

It is an arithmetic number, because the mean of its divisors is an integer number (26579028000).

Almost surely, 2^{4085599413600} is an apocalyptic number.

4085599413600 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 4085599413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7654760064000).

4085599413600 is an abundant number, since it is smaller than the sum of its proper divisors (11223920714400).

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

4085599413600 is a wasteful number, since it uses less digits than its factorization.

4085599413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10188 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 4085599413600 in words is "four trillion, eighty-five billion, five hundred ninety-nine million, four hundred thirteen thousand, six hundred".