42011424 has 216 divisors, whose sum is σ = 150319260. Its totient is φ = 11031552.

The previous prime is 42011423. The next prime is 42011441. The reversal of 42011424 is 42411024.

It can be written as a sum of positive squares in 2 ways, for example, as 41835024 + 176400 = 6468^2 + 420^2 .

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 = 42011397 and 42011406.

It is not an unprimeable number, because it can be changed into a prime (42011423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183342 + ... + 183570.

Almost surely, 2^42011424 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 42011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75159630).

42011424 is an abundant number, since it is smaller than the sum of its proper divisors (108307836).

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

42011424 is a wasteful number, since it uses less digits than its factorization.

42011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42011424 is about 6481.6220192171. The cubic root of 42011424 is about 347.6341776065.

Adding to 42011424 its reverse (42411024), we get a palindrome (84422448).

It can be divided in two parts, 4201 and 1424, that added together give a square (5625 = 75²).

The spelling of 42011424 in words is "forty-two million, eleven thousand, four hundred twenty-four".