221443033440 has 96 divisors (see below), whose sum is σ = 698785387776. Its totient is φ = 58946516480.

The previous prime is 221443033433. The next prime is 221443033451. The reversal of 221443033440 is 44330344122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 221443033398 and 221443033407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139476 + ... + 679955.

It is an arithmetic number, because the mean of its divisors is an integer number (7279014456).

Almost surely, 2^221443033440 is an apocalyptic number.

221443033440 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 221443033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349392693888).

221443033440 is an abundant number, since it is smaller than the sum of its proper divisors (477342354336).

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

221443033440 is a wasteful number, since it uses less digits than its factorization.

221443033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820012 (or 820004 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 221443033440 its reverse (44330344122), we get a palindrome (265773377562).

The spelling of 221443033440 in words is "two hundred twenty-one billion, four hundred forty-three million, thirty-three thousand, four hundred forty".