4466268288 has 256 divisors, whose sum is σ = 14695344000. Its totient is φ = 1327104000.

The previous prime is 4466268259. The next prime is 4466268299. The reversal of 4466268288 is 8828626644.

4466268288 is a `hidden beast` number, since 4 + 4 + 6 + 626 + 8 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1114288 + ... + 1118288.

Almost surely, 2^4466268288 is an apocalyptic number.

4466268288 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 4466268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7347672000).

4466268288 is an abundant number, since it is smaller than the sum of its proper divisors (10229075712).

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

4466268288 is a wasteful number, since it uses less digits than its factorization.

4466268288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4042 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 4466268288 is about 66830.1450544588. The cubic root of 4466268288 is about 1646.8281014087.

The spelling of 4466268288 in words is "four billion, four hundred sixty-six million, two hundred sixty-eight thousand, two hundred eighty-eight".