42011024 has 40 divisors (see below), whose sum is σ = 91869120. Its totient is φ = 18435200.

The previous prime is 42011017. The next prime is 42011083.

42011024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42011024² = 3529852275057152, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 989 + ... + 9219.

It is an arithmetic number, because the mean of its divisors is an integer number (2296728).

Almost surely, 2^42011024 is an apocalyptic number.

42011024 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 42011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45934560).

42011024 is an abundant number, since it is smaller than the sum of its proper divisors (49858096).

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

42011024 is a wasteful number, since it uses less digits than its factorization.

42011024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 42011024 is about 6481.5911626699. The cubic root of 42011024 is about 347.6330743026.

It can be divided in two parts, 4201 and 1024, that added together give a palindrome (5225).

The spelling of 42011024 in words is "forty-two million, eleven thousand, twenty-four".