4090893120 has 336 divisors, whose sum is σ = 14973117120. Its totient is φ = 1051416576.

The previous prime is 4090893077. The next prime is 4090893151. The reversal of 4090893120 is 213980904.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7265959 + ... + 7266521.

Almost surely, 2^4090893120 is an apocalyptic number.

4090893120 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 4090893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7486558560).

4090893120 is an abundant number, since it is smaller than the sum of its proper divisors (10882224000).

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

4090893120 is a wasteful number, since it uses less digits than its factorization.

4090893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4090893120 is about 63960.0900562218. The cubic root of 4090893120 is about 1599.3347651191.

The spelling of 4090893120 in words is "four billion, ninety million, eight hundred ninety-three thousand, one hundred twenty".