4091464320 has 256 divisors, whose sum is σ = 13726817280. Its totient is φ = 1035141120.

The previous prime is 4091464291. The next prime is 4091464339. The reversal of 4091464320 is 234641904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3153912 + ... + 3155208.

It is an arithmetic number, because the mean of its divisors is an integer number (53620380).

Almost surely, 2^4091464320 is an apocalyptic number.

4091464320 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 4091464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863408640).

4091464320 is an abundant number, since it is smaller than the sum of its proper divisors (9635352960).

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

4091464320 is a wasteful number, since it uses less digits than its factorization.

4091464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4091464320 is about 63964.5551848834. Note that the first 3 decimals coincide. The cubic root of 4091464320 is about 1599.4091985395.

The spelling of 4091464320 in words is "four billion, ninety-one million, four hundred sixty-four thousand, three hundred twenty".