4412802240 has 1008 divisors, whose sum is σ = 20068129536. Its totient is φ = 903260160.

The previous prime is 4412802221. The next prime is 4412802253. The reversal of 4412802240 is 422082144.

4412802240 is a `hidden beast` number, since 4 + 412 + 8 + 0 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65862687 + ... + 65862753.

Almost surely, 2^4412802240 is an apocalyptic number.

4412802240 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 4412802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10034064768).

4412802240 is an abundant number, since it is smaller than the sum of its proper divisors (15655327296).

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

4412802240 is a wasteful number, since it uses less digits than its factorization.

4412802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4412802240 is about 66428.9262294672. The cubic root of 4412802240 is about 1640.2302670924.

Adding to 4412802240 its reverse (422082144), we get a palindrome (4834884384).

The spelling of 4412802240 in words is "four billion, four hundred twelve million, eight hundred two thousand, two hundred forty".