221453122240 has 448 divisors, whose sum is σ = 644908032000. Its totient is φ = 70815596544.

The previous prime is 221453122217. The next prime is 221453122259. The reversal of 221453122240 is 42221354122.

221453122240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 221453122199 and 221453122208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 478300249 + ... + 478300711.

Almost surely, 2^221453122240 is an apocalyptic number.

221453122240 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 221453122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322454016000).

221453122240 is an abundant number, since it is smaller than the sum of its proper divisors (423454909760).

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

221453122240 is a wasteful number, since it uses less digits than its factorization.

221453122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 221453122240 its reverse (42221354122), we get a palindrome (263674476362).

The spelling of 221453122240 in words is "two hundred twenty-one billion, four hundred fifty-three million, one hundred twenty-two thousand, two hundred forty".