2342400042432 has 224 divisors, whose sum is σ = 6384381179904. Its totient is φ = 757494374400.

The previous prime is 2342400042419. The next prime is 2342400042469.

2342400042432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2342400042432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2097045138 + ... + 2097046254.

It is an arithmetic number, because the mean of its divisors is an integer number (28501701696).

Almost surely, 2^{2342400042432} 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 2342400042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192190589952).

2342400042432 is an abundant number, since it is smaller than the sum of its proper divisors (4041981137472).

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

2342400042432 is a wasteful number, since it uses less digits than its factorization.

2342400042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 23424000 and 42432, that added together give a palindrome (23466432).

The spelling of 2342400042432 in words is "two trillion, three hundred forty-two billion, four hundred million, forty-two thousand, four hundred thirty-two".