432340330240 has 144 divisors (see below), whose sum is σ = 1274572893888. Its totient is φ = 136828551168.

The previous prime is 432340330211. The next prime is 432340330273. The reversal of 432340330240 is 42033043234.

It is a super-2 number, since 2×432340330240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 432340330199 and 432340330208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1739377 + ... + 1972336.

It is an arithmetic number, because the mean of its divisors is an integer number (8851200652).

Almost surely, 2^432340330240 is an apocalyptic number.

432340330240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432340330240 is an abundant number, since it is smaller than the sum of its proper divisors (842232563648).

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

432340330240 is a wasteful number, since it uses less digits than its factorization.

432340330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711754 (or 3711740 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 432340330240 its reverse (42033043234), we get a palindrome (474373373474).

The spelling of 432340330240 in words is "four hundred thirty-two billion, three hundred forty million, three hundred thirty thousand, two hundred forty".