42129080 has 64 divisors (see below), whose sum is σ = 114048000. Its totient is φ = 13682304.

The previous prime is 42129053. The next prime is 42129091. The reversal of 42129080 is 8092124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1361 + ... + 9279.

It is an arithmetic number, because the mean of its divisors is an integer number (1782000).

Almost surely, 2^42129080 is an apocalyptic number.

42129080 is a gapful number since it is divisible by the number (40) 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 42129080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57024000).

42129080 is an abundant number, since it is smaller than the sum of its proper divisors (71918920).

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

42129080 is a wasteful number, since it uses less digits than its factorization.

42129080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7956 (or 7952 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 42129080 is about 6490.6917967194. The cubic root of 42129080 is about 347.9583999245.

The spelling of 42129080 in words is "forty-two million, one hundred twenty-nine thousand, eighty".