42321024 has 96 divisors (see below), whose sum is σ = 129006540. Its totient is φ = 13271040.

The previous prime is 42321023. The next prime is 42321029. The reversal of 42321024 is 42012324.

It can be written as a sum of positive squares in 2 ways, for example, as 40449600 + 1871424 = 6360^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42320988 and 42321006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42321023) 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, 18504 + ... + 20664.

Almost surely, 2^42321024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64503270).

42321024 is an abundant number, since it is smaller than the sum of its proper divisors (86685516).

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

42321024 is a wasteful number, since it uses less digits than its factorization.

42321024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42321024 is about 6505.4610904993. The cubic root of 42321024 is about 348.4860429959.

Adding to 42321024 its reverse (42012324), we get a palindrome (84333348).

The spelling of 42321024 in words is "forty-two million, three hundred twenty-one thousand, twenty-four".