432706765060240 has 160 divisors (see below), whose sum is σ = 1106621684750592. Its totient is φ = 157340844953600.

The previous prime is 432706765060181. The next prime is 432706765060379. The reversal of 432706765060240 is 42060567607234.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2762332320 + ... + 2762488960.

Almost surely, 2^{432706765060240} is an apocalyptic number.

432706765060240 is a gapful number since it is divisible by the number (40) 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 432706765060240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553310842375296).

432706765060240 is an abundant number, since it is smaller than the sum of its proper divisors (673914919690352).

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

432706765060240 is a wasteful number, since it uses less digits than its factorization.

432706765060240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182630 (or 182602 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 52.

The spelling of 432706765060240 in words is "four hundred thirty-two trillion, seven hundred six billion, seven hundred sixty-five million, sixty thousand, two hundred forty".