42109520 has 40 divisors (see below), whose sum is σ = 99521160. Its totient is φ = 16565760.

The previous prime is 42109519. The next prime is 42109531. The reversal of 42109520 is 2590124.

It can be written as a sum of positive squares in 4 ways, for example, as 1098304 + 41011216 = 1048^2 + 6404^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566 + ... + 9194.

It is an arithmetic number, because the mean of its divisors is an integer number (2488029).

Almost surely, 2^42109520 is an apocalyptic number.

42109520 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 42109520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49760580).

42109520 is an abundant number, since it is smaller than the sum of its proper divisors (57411640).

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

42109520 is a wasteful number, since it uses less digits than its factorization.

42109520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8703 (or 8697 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 42109520 is about 6489.1848486540. The cubic root of 42109520 is about 347.9045406908.

Adding to 42109520 its reverse (2590124), we get a palindrome (44699644).

The spelling of 42109520 in words is "forty-two million, one hundred nine thousand, five hundred twenty".