4408266240 has 400 divisors, whose sum is σ = 18050532192. Its totient is φ = 1007271936.

The previous prime is 4408266229. The next prime is 4408266241. The reversal of 4408266240 is 426628044.

It is a happy number.

4408266240 is a `hidden beast` number, since 4 + 4 + 0 + 8 + 26 + 624 + 0 = 666.

It is a super-2 number, since 2×4408266240² = 38865622485447475200, which contains 22 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 = 4408266195 and 4408266204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4408266241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1450002 + ... + 1453038.

Almost surely, 2^4408266240 is an apocalyptic number.

4408266240 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 4408266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9025266096).

4408266240 is an abundant number, since it is smaller than the sum of its proper divisors (13642265952).

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

4408266240 is an equidigital number, since it uses as much as digits as its factorization.

4408266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4408266240 is about 66394.7756980924. The cubic root of 4408266240 is about 1639.6680668690.

The spelling of 4408266240 in words is "four billion, four hundred eight million, two hundred sixty-six thousand, two hundred forty".