4026819264 has 336 divisors, whose sum is σ = 12518684640. Its totient is φ = 1134673920.

The previous prime is 4026819253. The next prime is 4026819289. The reversal of 4026819264 is 4629186204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36943242 + ... + 36943350.

It is an arithmetic number, because the mean of its divisors is an integer number (37257990).

Almost surely, 2^4026819264 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 4026819264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259342320).

4026819264 is an abundant number, since it is smaller than the sum of its proper divisors (8491865376).

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

4026819264 is a wasteful number, since it uses less digits than its factorization.

4026819264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4026819264 is about 63457.2238913743. The cubic root of 4026819264 is about 1590.9408963718.

The spelling of 4026819264 in words is "four billion, twenty-six million, eight hundred nineteen thousand, two hundred sixty-four".