42129906 has 96 divisors (see below), whose sum is σ = 107710848. Its totient is φ = 10886400.

The previous prime is 42129877. The next prime is 42129911. The reversal of 42129906 is 60992124.

42129906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278931 + ... + 279081.

It is an arithmetic number, because the mean of its divisors is an integer number (1121988).

Almost surely, 2^42129906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42129906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53855424).

42129906 is an abundant number, since it is smaller than the sum of its proper divisors (65580942).

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

42129906 is a wasteful number, since it uses less digits than its factorization.

42129906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 42129906 is about 6490.7554259886. The cubic root of 42129906 is about 347.9606739813.

The spelling of 42129906 in words is "forty-two million, one hundred twenty-nine thousand, nine hundred six".