4085438100 has 72 divisors (see below), whose sum is σ = 11827680480. Its totient is φ = 1088791680.

The previous prime is 4085438069. The next prime is 4085438107. The reversal of 4085438100 is 18345804.

4085438100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4085438100² = 33381608937863220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4085438107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684931 + ... + 690869.

It is an arithmetic number, because the mean of its divisors is an integer number (164273340).

Almost surely, 2^4085438100 is an apocalyptic number.

It is an amenable number.

4085438100 is an abundant number, since it is smaller than the sum of its proper divisors (7742242380).

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

4085438100 is a wasteful number, since it uses less digits than its factorization.

4085438100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 4085438100 is about 63917.4318945935. The cubic root of 4085438100 is about 1598.6235688420.

The spelling of 4085438100 in words is "four billion, eighty-five million, four hundred thirty-eight thousand, one hundred".