42129264 has 60 divisors (see below), whose sum is σ = 115650584. Its totient is φ = 13212672.

The previous prime is 42129259. The next prime is 42129287. The reversal of 42129264 is 46292124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12354 + ... + 15390.

Almost surely, 2^42129264 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 42129264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57825292).

42129264 is an abundant number, since it is smaller than the sum of its proper divisors (73521320).

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

42129264 is a wasteful number, since it uses less digits than its factorization.

42129264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3059 counting only the distinct ones).

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

The square root of 42129264 is about 6490.7059708479. The cubic root of 42129264 is about 347.9589064966.

The spelling of 42129264 in words is "forty-two million, one hundred twenty-nine thousand, two hundred sixty-four".