220342334431140 has 144 divisors (see below), whose sum is σ = 706704139814400. Its totient is φ = 55415810893824.

The previous prime is 220342334431133. The next prime is 220342334431217. The reversal of 220342334431140 is 41134433243022.

220342334431140 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 4 + 2 + 334 + 4 + 311 + 4 + 0 = 666.

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 = 220342334431095 and 220342334431104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143693805 + ... + 145219124.

It is an arithmetic number, because the mean of its divisors is an integer number (4907667637600).

Almost surely, 2^{220342334431140} is an apocalyptic number.

220342334431140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220342334431140 is an abundant number, since it is smaller than the sum of its proper divisors (486361805383260).

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

220342334431140 is a wasteful number, since it uses less digits than its factorization.

220342334431140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288913186 (or 288913181 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 220342334431140 its reverse (41134433243022), we get a palindrome (261476767674162).

The spelling of 220342334431140 in words is "two hundred twenty trillion, three hundred forty-two billion, three hundred thirty-four million, four hundred thirty-one thousand, one hundred forty".