4093191144 has 288 divisors, whose sum is σ = 13619511360. Its totient is φ = 1128142080.

The previous prime is 4093191083. The next prime is 4093191163. The reversal of 4093191144 is 4411913904.

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

It is a junction number, because it is equal to n+sod(n) for n = 4093191099 and 4093191108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13077132 + ... + 13077444.

It is an arithmetic number, because the mean of its divisors is an integer number (47289970).

Almost surely, 2^4093191144 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 4093191144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809755680).

4093191144 is an abundant number, since it is smaller than the sum of its proper divisors (9526320216).

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

4093191144 is a wasteful number, since it uses less digits than its factorization.

4093191144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 356 counting only the distinct ones).

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

The square root of 4093191144 is about 63978.0520491207. The cubic root of 4093191144 is about 1599.6341799078.

The spelling of 4093191144 in words is "four billion, ninety-three million, one hundred ninety-one thousand, one hundred forty-four".