334133403420042 has 96 divisors (see below), whose sum is σ = 757568590316928. Its totient is φ = 106320421404288.

The previous prime is 334133403420031. The next prime is 334133403420053. The reversal of 334133403420042 is 240024304331433.

334133403420042 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 3 + 3 + 403 + 4 + 200 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (334133403420031) and next prime (334133403420053).

It is a super-2 number, since 2×334133403420042² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334133403419979 and 334133403420006.

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, 2025422653 + ... + 2025587615.

It is an arithmetic number, because the mean of its divisors is an integer number (7891339482468).

Almost surely, 2^{334133403420042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334133403420042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378784295158464).

334133403420042 is an abundant number, since it is smaller than the sum of its proper divisors (423435186896886).

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

334133403420042 is a wasteful number, since it uses less digits than its factorization.

334133403420042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222444 (or 222441 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 334133403420042 its reverse (240024304331433), we get a palindrome (574157707751475).

The spelling of 334133403420042 in words is "three hundred thirty-four trillion, one hundred thirty-three billion, four hundred three million, four hundred twenty thousand, forty-two".