40404144 has 80 divisors (see below), whose sum is σ = 115885440. Its totient is φ = 12026880.

The previous prime is 40404139. The next prime is 40404157. The reversal of 40404144 is 44140404.

It is a self number, because there is not a number n which added to its sum of digits gives 40404144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30504 + ... + 31800.

It is an arithmetic number, because the mean of its divisors is an integer number (1448568).

Almost surely, 2^40404144 is an apocalyptic number.

40404144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57942720).

40404144 is an abundant number, since it is smaller than the sum of its proper divisors (75481296).

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

40404144 is a wasteful number, since it uses less digits than its factorization.

40404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 40404144 is about 6356.4254105590. The cubic root of 40404144 is about 343.1431260725.

Adding to 40404144 its reverse (44140404), we get a palindrome (84544548).

The spelling of 40404144 in words is "forty million, four hundred four thousand, one hundred forty-four".