432412053040 has 160 divisors (see below), whose sum is σ = 1189594486080. Its totient is φ = 144381542400.

The previous prime is 432412053037. The next prime is 432412053061. The reversal of 432412053040 is 40350214234.

It is a happy number.

It is a super-2 number, since 2×432412053040² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260866 + ... + 965854.

It is an arithmetic number, because the mean of its divisors is an integer number (7434965538).

Almost surely, 2^432412053040 is an apocalyptic number.

432412053040 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 432412053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594797243040).

432412053040 is an abundant number, since it is smaller than the sum of its proper divisors (757182433040).

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

432412053040 is a wasteful number, since it uses less digits than its factorization.

432412053040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705071 (or 705065 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 432412053040 its reverse (40350214234), we get a palindrome (472762267274).

The spelling of 432412053040 in words is "four hundred thirty-two billion, four hundred twelve million, fifty-three thousand, forty".