40126528 has 56 divisors (see below), whose sum is σ = 90827352. Its totient is φ = 17424384.

The previous prime is 40126523. The next prime is 40126547. The reversal of 40126528 is 82562104.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 40043584 = 288^2 + 6328^2 .

It is a super-2 number, since 2×40126528² = 3220276498669568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40126496 and 40126505.

It is not an unprimeable number, because it can be changed into a prime (40126523) 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 7 ways as a sum of consecutive naturals, for example, 12726 + ... + 15562.

It is an arithmetic number, because the mean of its divisors is an integer number (1621917).

Almost surely, 2^40126528 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 40126528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45413676).

40126528 is an abundant number, since it is smaller than the sum of its proper divisors (50700824).

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

40126528 is a wasteful number, since it uses less digits than its factorization.

40126528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 40126528 is about 6334.5503392111. The cubic root of 40126528 is about 342.3554095134.

The spelling of 40126528 in words is "forty million, one hundred twenty-six thousand, five hundred twenty-eight".