42001624 has 48 divisors (see below), whose sum is σ = 92545200. Its totient is φ = 17817408.

The previous prime is 42001601. The next prime is 42001627. The reversal of 42001624 is 42610024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42001627) 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, 42237 + ... + 43219.

It is an arithmetic number, because the mean of its divisors is an integer number (1928025).

Almost surely, 2^42001624 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 42001624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46272600).

42001624 is an abundant number, since it is smaller than the sum of its proper divisors (50543576).

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

42001624 is a wasteful number, since it uses less digits than its factorization.

42001624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 42001624 is about 6480.8659915169. The cubic root of 42001624 is about 347.6071446430.

Adding to 42001624 its reverse (42610024), we get a palindrome (84611648).

Subtracting 42001624 from its reverse (42610024), we obtain a square (608400 = 780²).

The spelling of 42001624 in words is "forty-two million, one thousand, six hundred twenty-four".