4083870400 has 84 divisors (see below), whose sum is σ = 10089901080. Its totient is φ = 1626880000.

The previous prime is 4083870397. The next prime is 4083870443. The reversal of 4083870400 is 40783804.

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 11 ways as a sum of consecutive naturals, for example, 396516 + ... + 406684.

It is an arithmetic number, because the mean of its divisors is an integer number (120117870).

Almost surely, 2^4083870400 is an apocalyptic number.

4083870400 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 4083870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044950540).

4083870400 is an abundant number, since it is smaller than the sum of its proper divisors (6006030680).

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

4083870400 is a wasteful number, since it uses less digits than its factorization.

4083870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10442 (or 10427 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 4083870400 is about 63905.1672402162. The cubic root of 4083870400 is about 1598.4190634142.

The spelling of 4083870400 in words is "four billion, eighty-three million, eight hundred seventy thousand, four hundred".