4091424480 has 768 divisors, whose sum is σ = 17374694400. Its totient is φ = 885841920.

The previous prime is 4091424473. The next prime is 4091424499. The reversal of 4091424480 is 844241904.

4091424480 is a `hidden beast` number, since 409 + 1 + 4 + 244 + 8 + 0 = 666.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22857031 + ... + 22857209.

It is an arithmetic number, because the mean of its divisors is an integer number (22623300).

Almost surely, 2^4091424480 is an apocalyptic number.

4091424480 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 4091424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687347200).

4091424480 is an abundant number, since it is smaller than the sum of its proper divisors (13283269920).

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

4091424480 is a wasteful number, since it uses less digits than its factorization.

4091424480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4091424480 is about 63964.2437616517. The cubic root of 4091424480 is about 1599.4040071896.

It can be divided in two parts, 4091424 and 480, that added together give a palindrome (4091904).

The spelling of 4091424480 in words is "four billion, ninety-one million, four hundred twenty-four thousand, four hundred eighty".