42051624 has 64 divisors (see below), whose sum is σ = 112320000. Its totient is φ = 13090560.

The previous prime is 42051619. The next prime is 42051671. The reversal of 42051624 is 42615024.

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 = 42051594 and 42051603.

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, 20602 + ... + 22550.

It is an arithmetic number, because the mean of its divisors is an integer number (1755000).

Almost surely, 2^42051624 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 42051624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56160000).

42051624 is an abundant number, since it is smaller than the sum of its proper divisors (70268376).

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

42051624 is a wasteful number, since it uses less digits than its factorization.

42051624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42051624 is about 6484.7223533471. The cubic root of 42051624 is about 347.7450239553.

Adding to 42051624 its reverse (42615024), we get a palindrome (84666648).

The spelling of 42051624 in words is "forty-two million, fifty-one thousand, six hundred twenty-four".