220131221440 has 224 divisors, whose sum is σ = 597578688000. Its totient is φ = 76566269952.

The previous prime is 220131221411. The next prime is 220131221449. The reversal of 220131221440 is 44122131022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220131221449) 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, 14140381 + ... + 14155939.

It is an arithmetic number, because the mean of its divisors is an integer number (2667762000).

Almost surely, 2^220131221440 is an apocalyptic number.

220131221440 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 220131221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298789344000).

220131221440 is an abundant number, since it is smaller than the sum of its proper divisors (377447466560).

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

220131221440 is a wasteful number, since it uses less digits than its factorization.

220131221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15787 (or 15777 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 220131221440 its reverse (44122131022), we get a palindrome (264253352462).

The spelling of 220131221440 in words is "two hundred twenty billion, one hundred thirty-one million, two hundred twenty-one thousand, four hundred forty".