532441221312 has 672 divisors, whose sum is σ = 1950452686336. Its totient is φ = 124668149760.

The previous prime is 532441221311. The next prime is 532441221359. The reversal of 532441221312 is 213122144235.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 532441221312.

It is not an unprimeable number, because it can be changed into a prime (532441221311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90903888 + ... + 90909744.

Almost surely, 2^532441221312 is an apocalyptic number.

532441221312 is a gapful number since it is divisible by the number (52) 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 532441221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975226343168).

532441221312 is an abundant number, since it is smaller than the sum of its proper divisors (1418011465024).

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

532441221312 is a wasteful number, since it uses less digits than its factorization.

532441221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5957 (or 5936 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 532441221312 its reverse (213122144235), we get a palindrome (745563365547).

The spelling of 532441221312 in words is "five hundred thirty-two billion, four hundred forty-one million, two hundred twenty-one thousand, three hundred twelve".