220135544040 has 128 divisors (see below), whose sum is σ = 664658265600. Its totient is φ = 58326048000.

The previous prime is 220135543993. The next prime is 220135544077. The reversal of 220135544040 is 40445531022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 220135543989 and 220135544007.

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 31 ways as a sum of consecutive naturals, for example, 12611559 + ... + 12629001.

It is an arithmetic number, because the mean of its divisors is an integer number (5192642700).

Almost surely, 2^220135544040 is an apocalyptic number.

220135544040 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 220135544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332329132800).

220135544040 is an abundant number, since it is smaller than the sum of its proper divisors (444522721560).

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

220135544040 is a wasteful number, since it uses less digits than its factorization.

220135544040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18127 (or 18123 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 220135544040 in words is "two hundred twenty billion, one hundred thirty-five million, five hundred forty-four thousand, forty".