432201141102234 has 192 divisors, whose sum is σ = 1065120595315200. Its totient is φ = 116427933619200.

The previous prime is 432201141102217. The next prime is 432201141102299.

It is a happy number.

432201141102234 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47452942 + ... + 55822790.

It is an arithmetic number, because the mean of its divisors is an integer number (5547503100600).

Almost surely, 2^{432201141102234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432201141102234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532560297657600).

432201141102234 is an abundant number, since it is smaller than the sum of its proper divisors (632919454212966).

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

432201141102234 is a wasteful number, since it uses less digits than its factorization.

432201141102234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8370053 (or 8370046 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 432201141102234 in words is "four hundred thirty-two trillion, two hundred one billion, one hundred forty-one million, one hundred two thousand, two hundred thirty-four".