340442430432 has 192 divisors, whose sum is σ = 991331421696. Its totient is φ = 101635430400.

The previous prime is 340442430431. The next prime is 340442430443. The reversal of 340442430432 is 234034244043.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 340442430393 and 340442430402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340442430431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8082258 + ... + 8124270.

It is an arithmetic number, because the mean of its divisors is an integer number (5163184488).

Almost surely, 2^340442430432 is an apocalyptic number.

340442430432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340442430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495665710848).

340442430432 is an abundant number, since it is smaller than the sum of its proper divisors (650888991264).

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

340442430432 is a wasteful number, since it uses less digits than its factorization.

340442430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42233 (or 42225 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 340442430432 its reverse (234034244043), we get a palindrome (574476674475).

The spelling of 340442430432 in words is "three hundred forty billion, four hundred forty-two million, four hundred thirty thousand, four hundred thirty-two".