220240135040 has 64 divisors (see below), whose sum is σ = 537714020160. Its totient is φ = 86221658112.

The previous prime is 220240135039. The next prime is 220240135079. The reversal of 220240135040 is 40531042022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 220240134997 and 220240135015.

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 7 ways as a sum of consecutive naturals, for example, 3630827 + ... + 3690986.

It is an arithmetic number, because the mean of its divisors is an integer number (8401781565).

Almost surely, 2^220240135040 is an apocalyptic number.

220240135040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220240135040 is an abundant number, since it is smaller than the sum of its proper divisors (317473885120).

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

220240135040 is an equidigital number, since it uses as much as digits as its factorization.

220240135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7321879 (or 7321867 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 220240135040 its reverse (40531042022), we get a palindrome (260771177062).

The spelling of 220240135040 in words is "two hundred twenty billion, two hundred forty million, one hundred thirty-five thousand, forty".