4226590368 has 672 divisors, whose sum is σ = 16843462272. Its totient is φ = 1007769600.

The previous prime is 4226590351. The next prime is 4226590393. The reversal of 4226590368 is 8630956224.

4226590368 is a `hidden beast` number, since 4 + 2 + 26 + 590 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4226590368² = 35728132277740750848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23351238 + ... + 23351418.

It is an arithmetic number, because the mean of its divisors is an integer number (25064676).

Almost surely, 2^4226590368 is an apocalyptic number.

4226590368 is a gapful number since it is divisible by the number (48) 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 4226590368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8421731136).

4226590368 is an abundant number, since it is smaller than the sum of its proper divisors (12616871904).

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

4226590368 is a wasteful number, since it uses less digits than its factorization.

4226590368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4226590368 is about 65012.2324489784. The cubic root of 4226590368 is about 1616.8263794504.

The spelling of 4226590368 in words is "four billion, two hundred twenty-six million, five hundred ninety thousand, three hundred sixty-eight".