132314041440 has 432 divisors, whose sum is σ = 527267679120. Its totient is φ = 30126458880.

The previous prime is 132314041417. The next prime is 132314041459. The reversal of 132314041440 is 44140413231.

132314041440 is a `hidden beast` number, since 13 + 231 + 4 + 0 + 414 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18977155 + ... + 18984125.

It is an arithmetic number, because the mean of its divisors is an integer number (1220527035).

Almost surely, 2^132314041440 is an apocalyptic number.

132314041440 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 132314041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263633839560).

132314041440 is an abundant number, since it is smaller than the sum of its proper divisors (394953637680).

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

132314041440 is a wasteful number, since it uses less digits than its factorization.

132314041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275 (or 7257 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 132314041440 its reverse (44140413231), we get a palindrome (176454454671).

The spelling of 132314041440 in words is "one hundred thirty-two billion, three hundred fourteen million, forty-one thousand, four hundred forty".