432403130000 has 100 divisors (see below), whose sum is σ = 1047559611120. Its totient is φ = 172850832000.

The previous prime is 432403129957. The next prime is 432403130051. The reversal of 432403130000 is 31304234.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-5 number, since 5×432403130000⁵ (a number of 59 digits) contains 55555 as substring.

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 19 ways as a sum of consecutive naturals, for example, 16657031 + ... + 16682969.

Almost surely, 2^432403130000 is an apocalyptic number.

432403130000 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 432403130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523779805560).

432403130000 is an abundant number, since it is smaller than the sum of its proper divisors (615156481120).

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

432403130000 is a wasteful number, since it uses less digits than its factorization.

432403130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27634 (or 27613 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 432403130000 its reverse (31304234), we get a palindrome (432434434234).

The spelling of 432403130000 in words is "four hundred thirty-two billion, four hundred three million, one hundred thirty thousand".