21144411432 has 96 divisors (see below), whose sum is σ = 58711521960. Its totient is φ = 6874617600.

The previous prime is 21144411401. The next prime is 21144411437. The reversal of 21144411432 is 23411444112.

21144411432 is a `hidden beast` number, since 211 + 4 + 4 + 4 + 11 + 432 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1193978916 + 19950432516 = 34554^2 + 141246^2 .

It is a super-2 number, since 2×21144411432² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21144411396 and 21144411405.

It is not an unprimeable number, because it can be changed into a prime (21144411437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4960182 + ... + 4964442.

Almost surely, 2^21144411432 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 21144411432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29355760980).

21144411432 is an abundant number, since it is smaller than the sum of its proper divisors (37567110528).

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

21144411432 is an equidigital number, since it uses as much as digits as its factorization.

21144411432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4307 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 21144411432 its reverse (23411444112), we get a palindrome (44555855544).

The spelling of 21144411432 in words is "twenty-one billion, one hundred forty-four million, four hundred eleven thousand, four hundred thirty-two".