234124202421432 has 96 divisors (see below), whose sum is σ = 639018727776000. Its totient is φ = 77434514364480.

The previous prime is 234124202421401. The next prime is 234124202421467.

234124202421432 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 24 + 202 + 421 + 4 + 3 + 2 = 666.

234124202421432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63853819 + ... + 67420757.

It is an arithmetic number, because the mean of its divisors is an integer number (6656445081000).

Almost surely, 2^{234124202421432} 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 234124202421432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319509363888000).

234124202421432 is an abundant number, since it is smaller than the sum of its proper divisors (404894525354568).

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

234124202421432 is a wasteful number, since it uses less digits than its factorization.

234124202421432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574041 (or 3574034 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 23412420 and 2421432, that added together give a palindrome (25833852).

The spelling of 234124202421432 in words is "two hundred thirty-four trillion, one hundred twenty-four billion, two hundred two million, four hundred twenty-one thousand, four hundred thirty-two".