220011004440 has 224 divisors, whose sum is σ = 767793589200. Its totient is φ = 56646293760.

The previous prime is 220011004439. The next prime is 220011004453. The reversal of 220011004440 is 44400110022.

220011004440 is a `hidden beast` number, since 220 + 0 + 1 + 1 + 0 + 0 + 4 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 715555 + ... + 975725.

Almost surely, 2^220011004440 is an apocalyptic number.

220011004440 is a gapful number since it is divisible by the number (20) 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 220011004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383896794600).

220011004440 is an abundant number, since it is smaller than the sum of its proper divisors (547782584760).

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

220011004440 is a wasteful number, since it uses less digits than its factorization.

220011004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260229 (or 260210 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220011004440 its reverse (44400110022), we get a palindrome (264411114462).

The spelling of 220011004440 in words is "two hundred twenty billion, eleven million, four thousand, four hundred forty".