220420321440 has 192 divisors, whose sum is σ = 757784885760. Its totient is φ = 53411210240.

The previous prime is 220420321439. The next prime is 220420321447. The reversal of 220420321440 is 44123024022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 220420321440.

It is not an unprimeable number, because it can be changed into a prime (220420321447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13609027 + ... + 13625213.

It is an arithmetic number, because the mean of its divisors is an integer number (3946796280).

Almost surely, 2^220420321440 is an apocalyptic number.

220420321440 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 220420321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378892442880).

220420321440 is an abundant number, since it is smaller than the sum of its proper divisors (537364564320).

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

220420321440 is a wasteful number, since it uses less digits than its factorization.

220420321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18795 (or 18787 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 220420321440 its reverse (44123024022), we get a palindrome (264543345462).

The spelling of 220420321440 in words is "two hundred twenty billion, four hundred twenty million, three hundred twenty-one thousand, four hundred forty".