221234101440 has 224 divisors, whose sum is σ = 767471867136. Its totient is φ = 53548707840.

The previous prime is 221234101421. The next prime is 221234101453. The reversal of 221234101440 is 44101432122.

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 221234101440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6879639 + ... + 6911721.

Almost surely, 2^221234101440 is an apocalyptic number.

221234101440 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 221234101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383735933568).

221234101440 is an abundant number, since it is smaller than the sum of its proper divisors (546237765696).

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

221234101440 is a wasteful number, since it uses less digits than its factorization.

221234101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32767 (or 32757 counting only the distinct ones).

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

Adding to 221234101440 its reverse (44101432122), we get a palindrome (265335533562).

The spelling of 221234101440 in words is "two hundred twenty-one billion, two hundred thirty-four million, one hundred one thousand, four hundred forty".