132400441024400 has 240 divisors, whose sum is σ = 327334258105920. Its totient is φ = 51445576089600.

The previous prime is 132400441024339. The next prime is 132400441024403. The reversal of 132400441024400 is 4420144004231.

It is not an unprimeable number, because it can be changed into a prime (132400441024403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882635804 + ... + 882785796.

It is an arithmetic number, because the mean of its divisors is an integer number (1363892742108).

Almost surely, 2^{132400441024400} is an apocalyptic number.

132400441024400 is a gapful number since it is divisible by the number (10) 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 132400441024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163667129052960).

132400441024400 is an abundant number, since it is smaller than the sum of its proper divisors (194933817081520).

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

132400441024400 is a wasteful number, since it uses less digits than its factorization.

132400441024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150514 (or 150503 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 132400441024400 its reverse (4420144004231), we get a palindrome (136820585028631).

The spelling of 132400441024400 in words is "one hundred thirty-two trillion, four hundred billion, four hundred forty-one million, twenty-four thousand, four hundred".