432340032400 has 60 divisors (see below), whose sum is σ = 1038760633492. Its totient is φ = 172925406720.

The previous prime is 432340032361. The next prime is 432340032407. The reversal of 432340032400 is 4230043234.

It can be written as a sum of positive squares in 6 ways, for example, as 31580133264 + 400759899136 = 177708^2 + 633056^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (432340032407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11554522 + ... + 11591878.

Almost surely, 2^432340032400 is an apocalyptic number.

432340032400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432340032400 is an abundant number, since it is smaller than the sum of its proper divisors (606420601092).

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

432340032400 is a wasteful number, since it uses less digits than its factorization.

432340032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66308 (or 66297 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 432340032400 its reverse (4230043234), we get a palindrome (436570075634).

The spelling of 432340032400 in words is "four hundred thirty-two billion, three hundred forty million, thirty-two thousand, four hundred".