40126240 has 96 divisors (see below), whose sum is σ = 118226304. Its totient is φ = 12503040.

The previous prime is 40126231. The next prime is 40126291. The reversal of 40126240 is 4262104.

40126240 = 827² + 828² + ... + 881².

It is a super-2 number, since 2×40126240² = 3220230273075200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10692 + ... + 13948.

It is an arithmetic number, because the mean of its divisors is an integer number (1231524).

Almost surely, 2^40126240 is an apocalyptic number.

40126240 is a gapful number since it is divisible by the number (40) 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 40126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59113152).

40126240 is an abundant number, since it is smaller than the sum of its proper divisors (78100064).

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

40126240 is a wasteful number, since it uses less digits than its factorization.

40126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 40126240 is about 6334.5276066965. The cubic root of 40126240 is about 342.3545904493.

Adding to 40126240 its reverse (4262104), we get a palindrome (44388344).

The spelling of 40126240 in words is "forty million, one hundred twenty-six thousand, two hundred forty".