234414141414432 has 384 divisors, whose sum is σ = 708390768476160. Its totient is φ = 66487293296640.

The previous prime is 234414141414359. The next prime is 234414141414487.

234414141414432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86213364369 + ... + 86213367087.

It is an arithmetic number, because the mean of its divisors is an integer number (1844767626240).

Almost surely, 2^{234414141414432} 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 234414141414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354195384238080).

234414141414432 is an abundant number, since it is smaller than the sum of its proper divisors (473976627061728).

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

234414141414432 is a wasteful number, since it uses less digits than its factorization.

234414141414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 4456 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 234414141414432 in words is "two hundred thirty-four trillion, four hundred fourteen billion, one hundred forty-one million, four hundred fourteen thousand, four hundred thirty-two".