42106952768349 has 192 divisors, whose sum is σ = 69187282944000. Its totient is φ = 22762648097280.

The previous prime is 42106952768341. The next prime is 42106952768393. The reversal of 42106952768349 is 94386725960124.

It is not a de Polignac number, because 42106952768349 - 2³ = 42106952768341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42106952768349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42106952768341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8046424437 + ... + 8046429669.

It is an arithmetic number, because the mean of its divisors is an integer number (360350432000).

It is a 1-persistent number, because it is pandigital, but 2⋅42106952768349 = 84213905536698 is not.

Almost surely, 2^{42106952768349} is an apocalyptic number.

42106952768349 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

42106952768349 is a deficient number, since it is larger than the sum of its proper divisors (27080330175651).

42106952768349 is a wasteful number, since it uses less digits than its factorization.

42106952768349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5501 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 42106952768349 in words is "forty-two trillion, one hundred six billion, nine hundred fifty-two million, seven hundred sixty-eight thousand, three hundred forty-nine".