43200000000234 has 288 divisors, whose sum is σ = 126363173556672. Its totient is φ = 10510674048000.

The previous prime is 43200000000163. The next prime is 43200000000361.

43200000000234 is a `hidden beast` number, since 432 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 234 = 666.

43200000000234 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34180404 + ... + 35421744.

It is an arithmetic number, because the mean of its divisors is an integer number (438761019294).

Almost surely, 2^{43200000000234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43200000000234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63181586778336).

43200000000234 is an abundant number, since it is smaller than the sum of its proper divisors (83163173556438).

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

43200000000234 is a wasteful number, since it uses less digits than its factorization.

43200000000234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241602 (or 1241592 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

It can be divided in two parts, 43200000000 and 234, that added together give a palindrome (43200000234).

The spelling of 43200000000234 in words is "forty-three trillion, two hundred billion, two hundred thirty-four", and thus it is an aban number.