40144 has 20 divisors (see below), whose sum is σ = 84196. Its totient is φ = 18432.

The previous prime is 40129. The next prime is 40151. The reversal of 40144 is 44104.

40144 = T₇₂ + T₇₃ + ... + T₈₄.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 32400 = 88^2 + 180^2 .

It is a super-2 number, since 2×40144² = 3223081472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

40144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112 + ... + 304.

2⁴⁰¹⁴⁴ 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 40144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42098).

40144 is an abundant number, since it is smaller than the sum of its proper divisors (44052).

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

40144 is a wasteful number, since it uses less digits than its factorization.

40144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 40144 is about 200.3596765819. The cubic root of 40144 is about 34.2405092072.

Adding to 40144 its reverse (44104), we get a palindrome (84248).

The spelling of 40144 in words is "forty thousand, one hundred forty-four", and thus it is an iban number.