221210341440 has 336 divisors, whose sum is σ = 784677485760. Its totient is φ = 52745932800.

The previous prime is 221210341409. The next prime is 221210341463. The reversal of 221210341440 is 44143012122.

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 221210341440.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7070151 + ... + 7101369.

It is an arithmetic number, because the mean of its divisors is an integer number (2335349660).

Almost surely, 2^221210341440 is an apocalyptic number.

221210341440 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 221210341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392338742880).

221210341440 is an abundant number, since it is smaller than the sum of its proper divisors (563467144320).

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

221210341440 is a wasteful number, since it uses less digits than its factorization.

221210341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31322 (or 31301 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221210341440 its reverse (44143012122), we get a palindrome (265353353562).

The spelling of 221210341440 in words is "two hundred twenty-one billion, two hundred ten million, three hundred forty-one thousand, four hundred forty".