432504414242010 has 384 divisors, whose sum is σ = 1280904109056000. Its totient is φ = 100288042444800.

The previous prime is 432504414242009. The next prime is 432504414242023. The reversal of 432504414242010 is 10242414405234.

432504414242010 is a `hidden beast` number, since 4 + 3 + 2 + 5 + 0 + 441 + 4 + 2 + 4 + 201 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31641255456 + ... + 31641269124.

It is an arithmetic number, because the mean of its divisors is an integer number (3335687784000).

Almost surely, 2^{432504414242010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432504414242010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640452054528000).

432504414242010 is an abundant number, since it is smaller than the sum of its proper divisors (848399694813990).

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

432504414242010 is a wasteful number, since it uses less digits than its factorization.

432504414242010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23942 (or 23939 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 432504414242010 its reverse (10242414405234), we get a palindrome (442746828647244).

The spelling of 432504414242010 in words is "four hundred thirty-two trillion, five hundred four billion, four hundred fourteen million, two hundred forty-two thousand, ten".