42129624 has 16 divisors (see below), whose sum is σ = 105324120. Its totient is φ = 14043200.

The previous prime is 42129559. The next prime is 42129641. The reversal of 42129624 is 42692124.

It is a junction number, because it is equal to n+sod(n) for n = 42129591 and 42129600.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 877677 + ... + 877724.

Almost surely, 2^42129624 is an apocalyptic number.

It is an amenable number.

42129624 is an abundant number, since it is smaller than the sum of its proper divisors (63194496).

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

42129624 is a wasteful number, since it uses less digits than its factorization.

42129624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755410 (or 1755406 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 42129624 is about 6490.7337027489. The cubic root of 42129624 is about 347.9598976117.

Subtracting 42129624 from its reverse (42692124), we obtain a square (562500 = 750²).

The spelling of 42129624 in words is "forty-two million, one hundred twenty-nine thousand, six hundred twenty-four".