40126752 has 120 divisors (see below), whose sum is σ = 119925036. Its totient is φ = 13160448.

The previous prime is 40126747. The next prime is 40126753. The reversal of 40126752 is 25762104.

It can be written as a sum of positive squares in 2 ways, for example, as 37015056 + 3111696 = 6084^2 + 1764^2 .

It is a super-2 number, since 2×40126752² = 3220312452139008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40126753) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 292828 + ... + 292964.

Almost surely, 2^40126752 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 40126752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59962518).

40126752 is an abundant number, since it is smaller than the sum of its proper divisors (79798284).

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

40126752 is a wasteful number, since it uses less digits than its factorization.

40126752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 40126752 is about 6334.5680199995. The cubic root of 40126752 is about 342.3560465605.

Adding to 40126752 its reverse (25762104), we get a palindrome (65888856).

The spelling of 40126752 in words is "forty million, one hundred twenty-six thousand, seven hundred fifty-two".