132320743504440 has 384 divisors, whose sum is σ = 423432358272000. Its totient is φ = 33072565542912.

The previous prime is 132320743504399. The next prime is 132320743504441. The reversal of 132320743504440 is 44405347023231.

It is a junction number, because it is equal to n+sod(n) for n = 132320743504392 and 132320743504401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132320743504441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22661539041 + ... + 22661544879.

It is an arithmetic number, because the mean of its divisors is an integer number (1102688433000).

Almost surely, 2^{132320743504440} is an apocalyptic number.

132320743504440 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 132320743504440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211716179136000).

132320743504440 is an abundant number, since it is smaller than the sum of its proper divisors (291111614767560).

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

132320743504440 is a wasteful number, since it uses less digits than its factorization.

132320743504440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8479 (or 8458 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 132320743504440 in words is "one hundred thirty-two trillion, three hundred twenty billion, seven hundred forty-three million, five hundred four thousand, four hundred forty".