40126688 has 72 divisors (see below), whose sum is σ = 93049992. Its totient is φ = 16982784.

The previous prime is 40126687. The next prime is 40126693. The reversal of 40126688 is 88662104.

It is a super-2 number, since 2×40126688² = 3220302179698688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40126687) 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, 246095 + ... + 246257.

It is an arithmetic number, because the mean of its divisors is an integer number (1292361).

Almost surely, 2^40126688 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 40126688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46524996).

40126688 is an abundant number, since it is smaller than the sum of its proper divisors (52923304).

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

40126688 is a wasteful number, since it uses less digits than its factorization.

40126688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 40126688 is about 6334.5629683507. The cubic root of 40126688 is about 342.3558645473.

The spelling of 40126688 in words is "forty million, one hundred twenty-six thousand, six hundred eighty-eight".