221210440032 has 96 divisors (see below), whose sum is σ = 604387284480. Its totient is φ = 70757245440.

The previous prime is 221210440007. The next prime is 221210440043. The reversal of 221210440032 is 230044012122.

221210440032 is digitally balanced in base 3, 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 (96).

It is a super-2 number, since 2×221210440032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221210439990 and 221210440008.

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, 210057 + ... + 697527.

It is an arithmetic number, because the mean of its divisors is an integer number (6295700880).

Almost surely, 2^221210440032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221210440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302193642240).

221210440032 is an abundant number, since it is smaller than the sum of its proper divisors (383176844448).

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

221210440032 is a wasteful number, since it uses less digits than its factorization.

221210440032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487676 (or 487668 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 221210440032 its reverse (230044012122), we get a palindrome (451254452154).

The spelling of 221210440032 in words is "two hundred twenty-one billion, two hundred ten million, four hundred forty thousand, thirty-two".