132412042302400 has 1008 divisors, whose sum is σ = 390787915115520. Its totient is φ = 44011828224000.

The previous prime is 132412042302329. The next prime is 132412042302403. The reversal of 132412042302400 is 4203240214231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132412042302403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 149957012359 + ... + 149957013241.

Almost surely, 2^{132412042302400} is an apocalyptic number.

132412042302400 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 132412042302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195393957557760).

132412042302400 is an abundant number, since it is smaller than the sum of its proper divisors (258375872813120).

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

132412042302400 is a wasteful number, since it uses less digits than its factorization.

132412042302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 132412042302400 its reverse (4203240214231), we get a palindrome (136615282516631).

The spelling of 132412042302400 in words is "one hundred thirty-two trillion, four hundred twelve billion, forty-two million, three hundred two thousand, four hundred".