4091457344 has 112 divisors (see below), whose sum is σ = 9113032320. Its totient is φ = 1809561600.

The previous prime is 4091457319. The next prime is 4091457347. The reversal of 4091457344 is 4437541904.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4091457347) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3642767 + ... + 3643889.

It is an arithmetic number, because the mean of its divisors is an integer number (81366360).

Almost surely, 2^4091457344 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 4091457344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556516160).

4091457344 is an abundant number, since it is smaller than the sum of its proper divisors (5021574976).

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

4091457344 is a wasteful number, since it uses less digits than its factorization.

4091457344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 4091457344 is about 63964.5006546600. The cubic root of 4091457344 is about 1599.4082895345.

The spelling of 4091457344 in words is "four billion, ninety-one million, four hundred fifty-seven thousand, three hundred forty-four".