132413342414400 has 840 divisors, whose sum is σ = 502788011618816. Its totient is φ = 34146070732800.

The previous prime is 132413342414389. The next prime is 132413342414593. The reversal of 132413342414400 is 4414243314231.

132413342414400 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 1 + 3 + 3 + 4 + 241 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5813455812 + ... + 5813478588.

Almost surely, 2^{132413342414400} is an apocalyptic number.

132413342414400 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 132413342414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251394005809408).

132413342414400 is an abundant number, since it is smaller than the sum of its proper divisors (370374669204416).

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

132413342414400 is a wasteful number, since it uses less digits than its factorization.

132413342414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24289 (or 24265 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 132413342414400 its reverse (4414243314231), we get a palindrome (136827585728631).

The spelling of 132413342414400 in words is "one hundred thirty-two trillion, four hundred thirteen billion, three hundred forty-two million, four hundred fourteen thousand, four hundred".