42116624 has 40 divisors (see below), whose sum is σ = 89973408. Its totient is φ = 18938880.

The previous prime is 42116621. The next prime is 42116647. The reversal of 42116624 is 42661124.

It is a junction number, because it is equal to n+sod(n) for n = 42116593 and 42116602.

It is not an unprimeable number, because it can be changed into a prime (42116621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15839 + ... + 18305.

Almost surely, 2^42116624 is an apocalyptic number.

42116624 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 42116624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44986704).

42116624 is an abundant number, since it is smaller than the sum of its proper divisors (47856784).

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

42116624 is a wasteful number, since it uses less digits than its factorization.

42116624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2577 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 42116624 is about 6489.7321978646. The cubic root of 42116624 is about 347.9241037641.

Adding to 42116624 its reverse (42661124), we get a palindrome (84777748).

The spelling of 42116624 in words is "forty-two million, one hundred sixteen thousand, six hundred twenty-four".