40138560 has 336 divisors, whose sum is σ = 173077632. Its totient is φ = 8294400.

The previous prime is 40138529. The next prime is 40138577. The reversal of 40138560 is 6583104.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×40138560² = 3222207997747200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 221670 + ... + 221850.

It is an arithmetic number, because the mean of its divisors is an integer number (515112).

Almost surely, 2^40138560 is an apocalyptic number.

40138560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 6335×6336.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86538816).

40138560 is an abundant number, since it is smaller than the sum of its proper divisors (132939072).

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

40138560 is a wasteful number, since it uses less digits than its factorization.

40138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 40138560 is about 6335.4999802699. The cubic root of 40138560 is about 342.3896246893.

The spelling of 40138560 in words is "forty million, one hundred thirty-eight thousand, five hundred sixty".