220440425200 has 180 divisors, whose sum is σ = 540753123960. Its totient is φ = 86357061120.

The previous prime is 220440425143. The next prime is 220440425213. The reversal of 220440425200 is 2524044022.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 526110591 + ... + 526111009.

It is an arithmetic number, because the mean of its divisors is an integer number (3004184022).

Almost surely, 2^220440425200 is an apocalyptic number.

220440425200 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 220440425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270376561980).

220440425200 is an abundant number, since it is smaller than the sum of its proper divisors (320312698760).

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

220440425200 is a wasteful number, since it uses less digits than its factorization.

220440425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 220440425200 its reverse (2524044022), we get a palindrome (222964469222).

The spelling of 220440425200 in words is "two hundred twenty billion, four hundred forty million, four hundred twenty-five thousand, two hundred".