221442344132040 has 48 divisors (see below), whose sum is σ = 719687618430300. Its totient is φ = 59051291768448.

The previous prime is 221442344132033. The next prime is 221442344132077. The reversal of 221442344132040 is 40231443244122.

221442344132040 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 4 + 2 + 3 + 441 + 3 + 204 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213168701688804 + 8273642443236 = 14600298^2 + 2876394^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221442344131986 and 221442344132004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307558810935 + ... + 307558811654.

Almost surely, 2^{221442344132040} is an apocalyptic number.

221442344132040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221442344132040 is an abundant number, since it is smaller than the sum of its proper divisors (498245274298260).

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

221442344132040 is a wasteful number, since it uses less digits than its factorization.

221442344132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615117622606 (or 615117622599 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 221442344132040 its reverse (40231443244122), we get a palindrome (261673787376162).

The spelling of 221442344132040 in words is "two hundred twenty-one trillion, four hundred forty-two billion, three hundred forty-four million, one hundred thirty-two thousand, forty".