132409434240 has 512 divisors, whose sum is σ = 489066336000. Its totient is φ = 33814609920.

The previous prime is 132409434203. The next prime is 132409434251. The reversal of 132409434240 is 42434904231.

132409434240 is a `hidden beast` number, since 1 + 3 + 2 + 409 + 4 + 3 + 4 + 240 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 132409434195 and 132409434204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65645712 + ... + 65647728.

Almost surely, 2^132409434240 is an apocalyptic number.

132409434240 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 132409434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244533168000).

132409434240 is an abundant number, since it is smaller than the sum of its proper divisors (356656901760).

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

132409434240 is a wasteful number, since it uses less digits than its factorization.

132409434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 132409434240 in words is "one hundred thirty-two billion, four hundred nine million, four hundred thirty-four thousand, two hundred forty".