42219520 has 192 divisors, whose sum is σ = 125798400. Its totient is φ = 13271040.

The previous prime is 42219493. The next prime is 42219521. The reversal of 42219520 is 2591224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42219521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1361905 + ... + 1361935.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^42219520 is an apocalyptic number.

42219520 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 42219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

42219520 is an abundant number, since it is smaller than the sum of its proper divisors (83578880).

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

42219520 is a wasteful number, since it uses less digits than its factorization.

42219520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 42219520 is about 6497.6549615996. The cubic root of 42219520 is about 348.2072135366.

The spelling of 42219520 in words is "forty-two million, two hundred nineteen thousand, five hundred twenty".