432040344240 has 160 divisors (see below), whose sum is σ = 1361014050240. Its totient is φ = 113352818688.

The previous prime is 432040344227. The next prime is 432040344301. The reversal of 432040344240 is 42443040234.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 432040344198 and 432040344207.

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, 7135534 + ... + 7195826.

It is an arithmetic number, because the mean of its divisors is an integer number (8506337814).

Almost surely, 2^432040344240 is an apocalyptic number.

432040344240 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 432040344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680507025120).

432040344240 is an abundant number, since it is smaller than the sum of its proper divisors (928973706000).

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

432040344240 is a wasteful number, since it uses less digits than its factorization.

432040344240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60791 (or 60785 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 432040344240 its reverse (42443040234), we get a palindrome (474483384474).

The spelling of 432040344240 in words is "four hundred thirty-two billion, forty million, three hundred forty-four thousand, two hundred forty".