220400241040 has 160 divisors (see below), whose sum is σ = 591801408000. Its totient is φ = 74772025344.

The previous prime is 220400241031. The next prime is 220400241121. The reversal of 220400241040 is 40142004022.

It is a junction number, because it is equal to n+sod(n) for n = 220400240999 and 220400241017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56093796 + ... + 56097724.

It is an arithmetic number, because the mean of its divisors is an integer number (3698758800).

Almost surely, 2^220400241040 is an apocalyptic number.

220400241040 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 220400241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295900704000).

220400241040 is an abundant number, since it is smaller than the sum of its proper divisors (371401166960).

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

220400241040 is a wasteful number, since it uses less digits than its factorization.

220400241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 220400241040 its reverse (40142004022), we get a palindrome (260542245062).

The spelling of 220400241040 in words is "two hundred twenty billion, four hundred million, two hundred forty-one thousand, forty".