42529920 has 128 divisors (see below), whose sum is σ = 143648640. Its totient is φ = 10665984.

The previous prime is 42529913. The next prime is 42529933. The reversal of 42529920 is 2992524.

It is a tau number, because it is divible by the number of its divisors (128).

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, 31989 + ... + 33291.

It is an arithmetic number, because the mean of its divisors is an integer number (1122255).

Almost surely, 2^42529920 is an apocalyptic number.

42529920 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 42529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71824320).

42529920 is an abundant number, since it is smaller than the sum of its proper divisors (101118720).

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

42529920 is a wasteful number, since it uses less digits than its factorization.

42529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 42529920 is about 6521.4967607138. The cubic root of 42529920 is about 349.0584763114.

The spelling of 42529920 in words is "forty-two million, five hundred twenty-nine thousand, nine hundred twenty".