220042440 has 128 divisors (see below), whose sum is σ = 743788800. Its totient is φ = 57853440.

The previous prime is 220042393. The next prime is 220042451. The reversal of 220042440 is 44240022.

220042440 is a `hidden beast` number, since 2 + 200 + 424 + 40 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 77445 + ... + 80235.

It is an arithmetic number, because the mean of its divisors is an integer number (5810850).

Almost surely, 2^220042440 is an apocalyptic number.

220042440 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 220042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371894400).

220042440 is an abundant number, since it is smaller than the sum of its proper divisors (523746360).

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

220042440 is a wasteful number, since it uses less digits than its factorization.

220042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 220042440 is about 14833.8275573097. The cubic root of 220042440 is about 603.7198897063.

Adding to 220042440 its reverse (44240022), we get a palindrome (264282462).

The spelling of 220042440 in words is "two hundred twenty million, forty-two thousand, four hundred forty".