432412400443144 has 64 divisors (see below), whose sum is σ = 884761097400000. Its totient is φ = 196488615456000.

The previous prime is 432412400443099. The next prime is 432412400443147. The reversal of 432412400443144 is 441344004214234.

It is a junction number, because it is equal to n+sod(n) for n = 432412400443097 and 432412400443106.

It is not an unprimeable number, because it can be changed into a prime (432412400443147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3680078107 + ... + 3680195605.

It is an arithmetic number, because the mean of its divisors is an integer number (13824392146875).

Almost surely, 2^{432412400443144} is an apocalyptic number.

432412400443144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

432412400443144 is an abundant number, since it is smaller than the sum of its proper divisors (452348696956856).

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

432412400443144 is a wasteful number, since it uses less digits than its factorization.

432412400443144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130454 (or 130450 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 432412400443144 its reverse (441344004214234), we get a palindrome (873756404657378).

The spelling of 432412400443144 in words is "four hundred thirty-two trillion, four hundred twelve billion, four hundred million, four hundred forty-three thousand, one hundred forty-four".