40138128 has 60 divisors (see below), whose sum is σ = 117224640. Its totient is φ = 12796608.

The previous prime is 40138121. The next prime is 40138129. The reversal of 40138128 is 82183104.

It is a super-2 number, since 2×40138128² = 3222138638688768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40138121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2748 + ... + 9371.

It is an arithmetic number, because the mean of its divisors is an integer number (1953744).

Almost surely, 2^40138128 is an apocalyptic number.

40138128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40138128 is an abundant number, since it is smaller than the sum of its proper divisors (77086512).

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

40138128 is a wasteful number, since it uses less digits than its factorization.

40138128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12156 (or 12147 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 40138128 is about 6335.4658865785. The cubic root of 40138128 is about 342.3883963372.

The spelling of 40138128 in words is "forty million, one hundred thirty-eight thousand, one hundred twenty-eight".