432114012441 has 64 divisors (see below), whose sum is σ = 663118410240. Its totient is φ = 277893089280.

The previous prime is 432114012439. The next prime is 432114012469. The reversal of 432114012441 is 144210411234.

432114012441 is a `hidden beast` number, since 4 + 3 + 2 + 11 + 401 + 244 + 1 = 666.

It is not a de Polignac number, because 432114012441 - 2¹ = 432114012439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (432114012431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56092996 + ... + 56100698.

It is an arithmetic number, because the mean of its divisors is an integer number (10361225160).

Almost surely, 2^432114012441 is an apocalyptic number.

It is an amenable number.

432114012441 is a deficient number, since it is larger than the sum of its proper divisors (231004397799).

432114012441 is a wasteful number, since it uses less digits than its factorization.

432114012441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223 (or 8217 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 432114012441 its reverse (144210411234), we get a palindrome (576324423675).

The spelling of 432114012441 in words is "four hundred thirty-two billion, one hundred fourteen million, twelve thousand, four hundred forty-one".