4090093056 has 400 divisors, whose sum is σ = 14216229984. Its totient is φ = 1146617856.

The previous prime is 4090093043. The next prime is 4090093057. The reversal of 4090093056 is 6503900904.

4090093056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4090093056² = 33457722413478838272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4090093056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4090093057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21192096 + ... + 21192288.

Almost surely, 2^4090093056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4090093056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108114992).

4090093056 is an abundant number, since it is smaller than the sum of its proper divisors (10126136928).

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

4090093056 is an equidigital number, since it uses as much as digits as its factorization.

4090093056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 4090093056 is about 63953.8353501962. The cubic root of 4090093056 is about 1599.2304966414.

It can be divided in two parts, 40900 and 93056, that added together give a square (133956 = 366²).

The spelling of 4090093056 in words is "four billion, ninety million, ninety-three thousand, fifty-six".