40386144 has 48 divisors (see below), whose sum is σ = 107131248. Its totient is φ = 13320192.

The previous prime is 40386119. The next prime is 40386161. The reversal of 40386144 is 44168304.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 7144 + ... + 11480.

It is an arithmetic number, because the mean of its divisors is an integer number (2231901).

Almost surely, 2^40386144 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 40386144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53565624).

40386144 is an abundant number, since it is smaller than the sum of its proper divisors (66745104).

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

40386144 is a wasteful number, since it uses less digits than its factorization.

40386144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 40386144 is about 6355.0093626996. The cubic root of 40386144 is about 343.0921618801.

The spelling of 40386144 in words is "forty million, three hundred eighty-six thousand, one hundred forty-four".