432400443000 has 128 divisors (see below), whose sum is σ = 1349510760000. Its totient is φ = 115270771200.

The previous prime is 432400442951. The next prime is 432400443001. The reversal of 432400443000 is 344004234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432400443001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10386226 + ... + 10427774.

Almost surely, 2^432400443000 is an apocalyptic number.

432400443000 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 432400443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674755380000).

432400443000 is an abundant number, since it is smaller than the sum of its proper divisors (917110317000).

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

432400443000 is a wasteful number, since it uses less digits than its factorization.

432400443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45042 (or 45028 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 432400443000 its reverse (344004234), we get a palindrome (432744447234).

The spelling of 432400443000 in words is "four hundred thirty-two billion, four hundred million, four hundred forty-three thousand".