4262222624 has 72 divisors (see below), whose sum is σ = 9253412784. Its totient is φ = 1916576000.

The previous prime is 4262222623. The next prime is 4262222639.

4262222624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4262222623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3590159 + ... + 3591345.

It is an arithmetic number, because the mean of its divisors is an integer number (128519622).

Almost surely, 2^4262222624 is an apocalyptic number.

4262222624 is a gapful number since it is divisible by the number (44) 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 4262222624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626706392).

4262222624 is an abundant number, since it is smaller than the sum of its proper divisors (4991190160).

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

4262222624 is a wasteful number, since it uses less digits than its factorization.

4262222624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1301 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 4262222624 is about 65285.6999962473. The cubic root of 4262222624 is about 1621.3572205898.

The spelling of 4262222624 in words is "four billion, two hundred sixty-two million, two hundred twenty-two thousand, six hundred twenty-four".