42411424 has 48 divisors (see below), whose sum is σ = 92425536. Its totient is φ = 18995200.

The previous prime is 42411419. The next prime is 42411433.

42411424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42411395 and 42411404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24144 + ... + 25840.

It is an arithmetic number, because the mean of its divisors is an integer number (1925532).

Almost surely, 2^42411424 is an apocalyptic number.

42411424 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 42411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46212768).

42411424 is an abundant number, since it is smaller than the sum of its proper divisors (50014112).

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

42411424 is a wasteful number, since it uses less digits than its factorization.

42411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1781 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 42411424 is about 6512.4053927869. The cubic root of 42411424 is about 348.7339948890.

It can be divided in two parts, 4241 and 1424, that added together give a palindrome (5665).

The spelling of 42411424 in words is "forty-two million, four hundred eleven thousand, four hundred twenty-four".