220402444420 has 96 divisors (see below), whose sum is σ = 470779555680. Its totient is φ = 86664806400.

The previous prime is 220402444399. The next prime is 220402444429. The reversal of 220402444420 is 24444204022.

It can be written as a sum of positive squares in 16 ways, for example, as 372026944 + 220030417476 = 19288^2 + 469074^2 .

It is a super-2 number, since 2×220402444420² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220402444429) by changing a digit.

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, 237246516 + ... + 237247444.

It is an arithmetic number, because the mean of its divisors is an integer number (4903953705).

Almost surely, 2^220402444420 is an apocalyptic number.

220402444420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220402444420 is an abundant number, since it is smaller than the sum of its proper divisors (250377111260).

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

220402444420 is a wasteful number, since it uses less digits than its factorization.

220402444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 220402444420 its reverse (24444204022), we get a palindrome (244846648442).

The spelling of 220402444420 in words is "two hundred twenty billion, four hundred two million, four hundred forty-four thousand, four hundred twenty".