220441597440 has 320 divisors, whose sum is σ = 736720275456. Its totient is φ = 56124997632.

The previous prime is 220441597429. The next prime is 220441597483. The reversal of 220441597440 is 44795144022.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 220441597392 and 220441597401.

It is a congruent number.

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, 154912569 + ... + 154913991.

Almost surely, 2^220441597440 is an apocalyptic number.

220441597440 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 220441597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368360137728).

220441597440 is an abundant number, since it is smaller than the sum of its proper divisors (516278678016).

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

220441597440 is a wasteful number, since it uses less digits than its factorization.

220441597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 220441597440 in words is "two hundred twenty billion, four hundred forty-one million, five hundred ninety-seven thousand, four hundred forty".