132632260291440 has 3200 divisors, whose sum is σ = 595470647439360. Its totient is φ = 26619450163200.

The previous prime is 132632260291411. The next prime is 132632260291459. The reversal of 132632260291440 is 44192062236231.

132632260291440 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 3 + 22 + 602 + 9 + 14 + 4 + 0 = 666.

It is a super-3 number, since 3×132632260291440³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 204995765197 + ... + 204995765843.

Almost surely, 2^{132632260291440} is an apocalyptic number.

132632260291440 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 132632260291440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297735323719680).

132632260291440 is an abundant number, since it is smaller than the sum of its proper divisors (462838387147920).

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

132632260291440 is a wasteful number, since it uses less digits than its factorization.

132632260291440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 132632260291440 in words is "one hundred thirty-two trillion, six hundred thirty-two billion, two hundred sixty million, two hundred ninety-one thousand, four hundred forty".