42001520 has 60 divisors (see below), whose sum is σ = 107362920. Its totient is φ = 15269760.

The previous prime is 42001517. The next prime is 42001529. The reversal of 42001520 is 2510024.

It is a junction number, because it is equal to n+sod(n) for n = 42001495 and 42001504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42001529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7511 + ... + 11849.

It is an arithmetic number, because the mean of its divisors is an integer number (1789382).

Almost surely, 2^42001520 is an apocalyptic number.

42001520 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 42001520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53681460).

42001520 is an abundant number, since it is smaller than the sum of its proper divisors (65361400).

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

42001520 is a wasteful number, since it uses less digits than its factorization.

42001520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 42001520 is about 6480.8579678928. The cubic root of 42001520 is about 347.6068577400.

Adding to 42001520 its reverse (2510024), we get a palindrome (44511544).

The spelling of 42001520 in words is "forty-two million, one thousand, five hundred twenty".