404140020144 has 160 divisors (see below), whose sum is σ = 1256790274560. Its totient is φ = 109320192000.

The previous prime is 404140020121. The next prime is 404140020181. The reversal of 404140020144 is 441020041404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10201014 + ... + 10240554.

It is an arithmetic number, because the mean of its divisors is an integer number (7854939216).

Almost surely, 2^404140020144 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 404140020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628395137280).

404140020144 is an abundant number, since it is smaller than the sum of its proper divisors (852650254416).

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

404140020144 is a wasteful number, since it uses less digits than its factorization.

404140020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41179 (or 41173 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 404140020144 its reverse (441020041404), we get a palindrome (845160061548).

The spelling of 404140020144 in words is "four hundred four billion, one hundred forty million, twenty thousand, one hundred forty-four".