221232431040 has 224 divisors, whose sum is σ = 746566878720. Its totient is φ = 55347204096.

The previous prime is 221232431033. The next prime is 221232431053. The reversal of 221232431040 is 40134232122.

It is a happy number.

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 221232431040.

It is a congruent number.

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, 1819842 + ... + 1937598.

Almost surely, 2^221232431040 is an apocalyptic number.

221232431040 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 221232431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373283439360).

221232431040 is an abundant number, since it is smaller than the sum of its proper divisors (525334447680).

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

221232431040 is a wasteful number, since it uses less digits than its factorization.

221232431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117899 (or 117889 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 221232431040 its reverse (40134232122), we get a palindrome (261366663162).

The spelling of 221232431040 in words is "two hundred twenty-one billion, two hundred thirty-two million, four hundred thirty-one thousand, forty".