4426662240 has 1152 divisors, whose sum is σ = 21081295872. Its totient is φ = 816168960.

The previous prime is 4426662151. The next prime is 4426662259. The reversal of 4426662240 is 422666244.

It is a super-4 number, since 4×4426662240⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4426662195 and 4426662204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53333239 + ... + 53333321.

It is an arithmetic number, because the mean of its divisors is an integer number (18299736).

Almost surely, 2^4426662240 is an apocalyptic number.

4426662240 is a gapful number since it is divisible by the number (40) 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 4426662240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10540647936).

4426662240 is an abundant number, since it is smaller than the sum of its proper divisors (16654633632).

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

4426662240 is a wasteful number, since it uses less digits than its factorization.

4426662240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4426662240 is about 66533.1664660566. The cubic root of 4426662240 is about 1641.9457176301.

It can be divided in two parts, 4426 and 662240, that added together give a palindrome (666666).

The spelling of 4426662240 in words is "four billion, four hundred twenty-six million, six hundred sixty-two thousand, two hundred forty".