42129164 has 48 divisors (see below), whose sum is σ = 94085376. Its totient is φ = 16027200.

The previous prime is 42129149. The next prime is 42129167. The reversal of 42129164 is 46192124.

It is not an unprimeable number, because it can be changed into a prime (42129167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11654 + ... + 14834.

It is an arithmetic number, because the mean of its divisors is an integer number (1960112).

Almost surely, 2^42129164 is an apocalyptic number.

42129164 is a gapful number since it is divisible by the number (44) 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 42129164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47042688).

42129164 is an abundant number, since it is smaller than the sum of its proper divisors (51956212).

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

42129164 is a wasteful number, since it uses less digits than its factorization.

42129164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3244 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 42129164 is about 6490.6982675210. The cubic root of 42129164 is about 347.9586311858.

The spelling of 42129164 in words is "forty-two million, one hundred twenty-nine thousand, one hundred sixty-four".