220689118440 has 576 divisors, whose sum is σ = 898735780800. Its totient is φ = 46673915904.

The previous prime is 220689118423. The next prime is 220689118499. The reversal of 220689118440 is 44811986022.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 14404224 + ... + 14419536.

It is an arithmetic number, because the mean of its divisors is an integer number (1560305175).

Almost surely, 2^220689118440 is an apocalyptic number.

220689118440 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 220689118440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449367890400).

220689118440 is an abundant number, since it is smaller than the sum of its proper divisors (678046662360).

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

220689118440 is a wasteful number, since it uses less digits than its factorization.

220689118440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15406 (or 15392 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 220689118440 in words is "two hundred twenty billion, six hundred eighty-nine million, one hundred eighteen thousand, four hundred forty".