2434433142432 has 288 divisors, whose sum is σ = 6946193221632. Its totient is φ = 745887356928.

The previous prime is 2434433142409. The next prime is 2434433142457. The reversal of 2434433142432 is 2342413344342.

It is a happy number.

2434433142432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 491107698 + ... + 491112654.

It is an arithmetic number, because the mean of its divisors is an integer number (24118726464).

Almost surely, 2^{2434433142432} 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 2434433142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473096610816).

2434433142432 is an abundant number, since it is smaller than the sum of its proper divisors (4511760079200).

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

2434433142432 is a wasteful number, since it uses less digits than its factorization.

2434433142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5401 counting only the distinct ones).

The product of its digits is 663552, while the sum is 39.

Adding to 2434433142432 its reverse (2342413344342), we get a palindrome (4776846486774).

The spelling of 2434433142432 in words is "two trillion, four hundred thirty-four billion, four hundred thirty-three million, one hundred forty-two thousand, four hundred thirty-two".