432413012000 has 48 divisors (see below), whose sum is σ = 1062438780312. Its totient is φ = 172965203200.

The previous prime is 432413011949. The next prime is 432413012047. The reversal of 432413012000 is 210314234.

It can be written as a sum of positive squares in 4 ways, for example, as 280590565264 + 151822446736 = 529708^2 + 389644^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 54047627 + ... + 54055626.

Almost surely, 2^432413012000 is an apocalyptic number.

432413012000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432413012000 is an abundant number, since it is smaller than the sum of its proper divisors (630025768312).

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

432413012000 is a wasteful number, since it uses less digits than its factorization.

432413012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108103278 (or 108103260 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 432413012000 its reverse (210314234), we get a palindrome (432623326234).

The spelling of 432413012000 in words is "four hundred thirty-two billion, four hundred thirteen million, twelve thousand".