40126824 has 48 divisors (see below), whose sum is σ = 109695300. Its totient is φ = 13250304.

The previous prime is 40126813. The next prime is 40126829. The reversal of 40126824 is 42862104.

It can be written as a sum of positive squares in 2 ways, for example, as 37822500 + 2304324 = 6150^2 + 1518^2 .

It is a super-2 number, since 2×40126824² = 3220324008653952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40126829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5292 + ... + 10404.

Almost surely, 2^40126824 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 40126824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54847650).

40126824 is an abundant number, since it is smaller than the sum of its proper divisors (69568476).

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

40126824 is a wasteful number, since it uses less digits than its factorization.

40126824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5234 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40126824 is about 6334.5737030995. The cubic root of 40126824 is about 342.3562513252.

Adding to 40126824 its reverse (42862104), we get a palindrome (82988928).

It can be divided in two parts, 401 and 26824, that added together give a square (27225 = 165²).

The spelling of 40126824 in words is "forty million, one hundred twenty-six thousand, eight hundred twenty-four".