220644311040 has 816 divisors, whose sum is σ = 845036756928. Its totient is φ = 55037657088.

The previous prime is 220644311003. The next prime is 220644311071. The reversal of 220644311040 is 40113446022.

It is a happy number.

220644311040 is a `hidden beast` number, since 2 + 2 + 0 + 644 + 3 + 1 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 220644310995 and 220644311013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1353645999 + ... + 1353646161.

Almost surely, 2^220644311040 is an apocalyptic number.

220644311040 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 220644311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422518378464).

220644311040 is an abundant number, since it is smaller than the sum of its proper divisors (624392445888).

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

220644311040 is an frugal number, since it uses more digits than its factorization.

220644311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 220644311040 its reverse (40113446022), we get a palindrome (260757757062).

The spelling of 220644311040 in words is "two hundred twenty billion, six hundred forty-four million, three hundred eleven thousand, forty".