42419520 has 336 divisors, whose sum is σ = 173077632. Its totient is φ = 9400320.

The previous prime is 42419513. The next prime is 42419537. The reversal of 42419520 is 2591424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411789 + ... + 411891.

It is an arithmetic number, because the mean of its divisors is an integer number (515112).

Almost surely, 2^42419520 is an apocalyptic number.

42419520 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 42419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86538816).

42419520 is an abundant number, since it is smaller than the sum of its proper divisors (130658112).

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

42419520 is a wasteful number, since it uses less digits than its factorization.

42419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42419520 is about 6513.0269460520. The cubic root of 42419520 is about 348.7561836496.

The spelling of 42419520 in words is "forty-two million, four hundred nineteen thousand, five hundred twenty".