342034141424040 has 384 divisors, whose sum is σ = 1251166530650400. Its totient is φ = 80451769466880.

The previous prime is 342034141424039. The next prime is 342034141424047. The reversal of 342034141424040 is 40424141430243.

342034141424040 is a `hidden beast` number, since 3 + 4 + 20 + 3 + 414 + 142 + 40 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 17530449815844 + 324503691608196 = 4186938^2 + 18013986^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 342034141423986 and 342034141424004.

It is not an unprimeable number, because it can be changed into a prime (342034141424047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174400 + ... + 26155280.

Almost surely, 2^{342034141424040} is an apocalyptic number.

342034141424040 is a gapful number since it is divisible by the number (30) 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 342034141424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625583265325200).

342034141424040 is an abundant number, since it is smaller than the sum of its proper divisors (909132389226360).

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

342034141424040 is a wasteful number, since it uses less digits than its factorization.

342034141424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25981037 (or 25981030 counting only the distinct ones).

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

Adding to 342034141424040 its reverse (40424141430243), we get a palindrome (382458282854283).

The spelling of 342034141424040 in words is "three hundred forty-two trillion, thirty-four billion, one hundred forty-one million, four hundred twenty-four thousand, forty".