4085414200 has 288 divisors, whose sum is σ = 11965417200. Its totient is φ = 1288949760.

The previous prime is 4085414167. The next prime is 4085414227. The reversal of 4085414200 is 24145804.

4085414200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6889104 + ... + 6889696.

Almost surely, 2^4085414200 is an apocalyptic number.

4085414200 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 4085414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982708600).

4085414200 is an abundant number, since it is smaller than the sum of its proper divisors (7880003000).

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

4085414200 is a wasteful number, since it uses less digits than its factorization.

4085414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 4085414200 is about 63917.2449343681. The cubic root of 4085414200 is about 1598.6204514956.

The spelling of 4085414200 in words is "four billion, eighty-five million, four hundred fourteen thousand, two hundred".