432443141230100 has 864 divisors, whose sum is σ = 1337743534767360. Its totient is φ = 117744615014400.

The previous prime is 432443141230073. The next prime is 432443141230127. The reversal of 432443141230100 is 1032141344234.

It is an interprime number because it is at equal distance from previous prime (432443141230073) and next prime (432443141230127).

It is a super-2 number, since 2×432443141230100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20439708722 + ... + 20439729878.

Almost surely, 2^{432443141230100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432443141230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668871767383680).

432443141230100 is an abundant number, since it is smaller than the sum of its proper divisors (905300393537260).

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

432443141230100 is a wasteful number, since it uses less digits than its factorization.

432443141230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22209 (or 22191 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 432443141230100 its reverse (1032141344234), we get a palindrome (433475282574334).

The spelling of 432443141230100 in words is "four hundred thirty-two trillion, four hundred forty-three billion, one hundred forty-one million, two hundred thirty thousand, one hundred".