220420551040 has 128 divisors (see below), whose sum is σ = 533443680000. Its totient is φ = 87087052800.

The previous prime is 220420551031. The next prime is 220420551047. The reversal of 220420551040 is 40155024022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 220420550996 and 220420551014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220420551047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17696815 + ... + 17709265.

It is an arithmetic number, because the mean of its divisors is an integer number (4167528750).

Almost surely, 2^220420551040 is an apocalyptic number.

220420551040 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 220420551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266721840000).

220420551040 is an abundant number, since it is smaller than the sum of its proper divisors (313023128960).

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

220420551040 is a wasteful number, since it uses less digits than its factorization.

220420551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12808 (or 12796 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 220420551040 its reverse (40155024022), we get a palindrome (260575575062).

The spelling of 220420551040 in words is "two hundred twenty billion, four hundred twenty million, five hundred fifty-one thousand, forty".