20414034243342 has 128 divisors (see below), whose sum is σ = 48169416597120. Its totient is φ = 6386231255040.

The previous prime is 20414034243203. The next prime is 20414034243371. The reversal of 20414034243342 is 24334243041402.

20414034243342 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 40 + 34 + 243 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20414034243297 and 20414034243306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 924830818 + ... + 924852890.

It is an arithmetic number, because the mean of its divisors is an integer number (376323567165).

Almost surely, 2^{20414034243342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20414034243342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24084708298560).

20414034243342 is an abundant number, since it is smaller than the sum of its proper divisors (27755382353778).

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

20414034243342 is a wasteful number, since it uses less digits than its factorization.

20414034243342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24915 (or 24909 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 20414034243342 its reverse (24334243041402), we get a palindrome (44748277284744).

The spelling of 20414034243342 in words is "twenty trillion, four hundred fourteen billion, thirty-four million, two hundred forty-three thousand, three hundred forty-two".