32400142434 has 48 divisors (see below), whose sum is σ = 76594362624. Its totient is φ = 9816660000.

The previous prime is 32400142433. The next prime is 32400142441. The reversal of 32400142434 is 43424100423.

It is a happy number.

32400142434 is a `hidden beast` number, since 3 + 2 + 400 + 14 + 243 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32400142398 and 32400142407.

It is not an unprimeable number, because it can be changed into a prime (32400142433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2071407 + ... + 2086989.

It is an arithmetic number, because the mean of its divisors is an integer number (1595715888).

Almost surely, 2^32400142434 is an apocalyptic number.

32400142434 is an abundant number, since it is smaller than the sum of its proper divisors (44194220190).

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

32400142434 is a wasteful number, since it uses less digits than its factorization.

32400142434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26103 (or 26100 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 32400142434 its reverse (43424100423), we get a palindrome (75824242857).

The spelling of 32400142434 in words is "thirty-two billion, four hundred million, one hundred forty-two thousand, four hundred thirty-four".