42145224 has 64 divisors (see below), whose sum is σ = 115568640. Its totient is φ = 12701760.

The previous prime is 42145153. The next prime is 42145241. The reversal of 42145224 is 42254124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42145194 and 42145203.

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, 69129 + ... + 69735.

It is an arithmetic number, because the mean of its divisors is an integer number (1805760).

Almost surely, 2^42145224 is an apocalyptic number.

42145224 is a gapful number since it is divisible by the number (44) 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 42145224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57784320).

42145224 is an abundant number, since it is smaller than the sum of its proper divisors (73423416).

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

42145224 is a wasteful number, since it uses less digits than its factorization.

42145224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 886 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 42145224 is about 6491.9353046684. The cubic root of 42145224 is about 348.0028405106.

Adding to 42145224 its reverse (42254124), we get a palindrome (84399348).

Subtracting 42145224 from its reverse (42254124), we obtain a square (108900 = 330²).

The spelling of 42145224 in words is "forty-two million, one hundred forty-five thousand, two hundred twenty-four".