4090479264 has 288 divisors, whose sum is σ = 12680478720. Its totient is φ = 1295481600.

The previous prime is 4090479247. The next prime is 4090479287. The reversal of 4090479264 is 4629740904.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 17114857 + ... + 17115095.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 2^4090479264 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 4090479264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340239360).

4090479264 is an abundant number, since it is smaller than the sum of its proper divisors (8589999456).

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

4090479264 is a wasteful number, since it uses less digits than its factorization.

4090479264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4090479264 is about 63956.8547069038. The cubic root of 4090479264 is about 1599.2808309625.

The spelling of 4090479264 in words is "four billion, ninety million, four hundred seventy-nine thousand, two hundred sixty-four".