4085313600 has 336 divisors, whose sum is σ = 13844381760. Its totient is φ = 1054310400.

The previous prime is 4085313587. The next prime is 4085313601. The reversal of 4085313600 is 63135804.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4085313601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31185535 + ... + 31185665.

Almost surely, 2^4085313600 is an apocalyptic number.

4085313600 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 4085313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922190880).

4085313600 is an abundant number, since it is smaller than the sum of its proper divisors (9759068160).

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

4085313600 is a wasteful number, since it uses less digits than its factorization.

4085313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4085313600 is about 63916.4579744529. The cubic root of 4085313600 is about 1598.6073298120.

The spelling of 4085313600 in words is "four billion, eighty-five million, three hundred thirteen thousand, six hundred".