234242202242432 has 128 divisors (see below), whose sum is σ = 501752960870400. Its totient is φ = 108577339453440.

The previous prime is 234242202242429. The next prime is 234242202242437.

234242202242432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×234242202242432² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234242202242437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674562932 + ... + 674910092.

It is an arithmetic number, because the mean of its divisors is an integer number (3919945006800).

Almost surely, 2^{234242202242432} 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 234242202242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250876480435200).

234242202242432 is an abundant number, since it is smaller than the sum of its proper divisors (267510758627968).

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

234242202242432 is a wasteful number, since it uses less digits than its factorization.

234242202242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353144 (or 353132 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 38.

It can be divided in two parts, 23424220 and 2242432, that added together give a palindrome (25666652).

The spelling of 234242202242432 in words is "two hundred thirty-four trillion, two hundred forty-two billion, two hundred two million, two hundred forty-two thousand, four hundred thirty-two".