221231444301240 has 256 divisors, whose sum is σ = 693119843942400. Its totient is φ = 56383688385024.

The previous prime is 221231444301211. The next prime is 221231444301269. The reversal of 221231444301240 is 42103444132122.

It is an interprime number because it is at equal distance from previous prime (221231444301211) and next prime (221231444301269).

It is a super-2 number, since 2×221231444301240² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28630958257 + ... + 28630965983.

It is an arithmetic number, because the mean of its divisors is an integer number (2707499390400).

Almost surely, 2^{221231444301240} is an apocalyptic number.

221231444301240 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 221231444301240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346559921971200).

221231444301240 is an abundant number, since it is smaller than the sum of its proper divisors (471888399641160).

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

221231444301240 is a wasteful number, since it uses less digits than its factorization.

221231444301240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14946 (or 14942 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 221231444301240 its reverse (42103444132122), we get a palindrome (263334888433362).

The spelling of 221231444301240 in words is "two hundred twenty-one trillion, two hundred thirty-one billion, four hundred forty-four million, three hundred one thousand, two hundred forty".