42129696 has 96 divisors (see below), whose sum is σ = 128314368. Its totient is φ = 11854080.

The previous prime is 42129691. The next prime is 42129697. The reversal of 42129696 is 69692124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×42129696² = 3549822570104832, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42129691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47271 + ... + 48153.

It is an arithmetic number, because the mean of its divisors is an integer number (1336608).

Almost surely, 2^42129696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42129696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64157184).

42129696 is an abundant number, since it is smaller than the sum of its proper divisors (86184672).

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

42129696 is a wasteful number, since it uses less digits than its factorization.

42129696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 966 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 42129696 is about 6490.7392491148. The cubic root of 42129696 is about 347.9600958340.

The spelling of 42129696 in words is "forty-two million, one hundred twenty-nine thousand, six hundred ninety-six".