132433334400 has 192 divisors, whose sum is σ = 437869206720. Its totient is φ = 35180605440.

The previous prime is 132433334399. The next prime is 132433334419. The reversal of 132433334400 is 4433334231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2498574 + ... + 2551026.

It is an arithmetic number, because the mean of its divisors is an integer number (2280568785).

Almost surely, 2^132433334400 is an apocalyptic number.

132433334400 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 132433334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218934603360).

132433334400 is an abundant number, since it is smaller than the sum of its proper divisors (305435872320).

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

132433334400 is a wasteful number, since it uses less digits than its factorization.

132433334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52743 (or 52726 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 132433334400 its reverse (4433334231), we get a palindrome (136866668631).

The spelling of 132433334400 in words is "one hundred thirty-two billion, four hundred thirty-three million, three hundred thirty-four thousand, four hundred".