404142144 has 112 divisors (see below), whose sum is σ = 1264310400. Its totient is φ = 111476736.

The previous prime is 404142121. The next prime is 404142163. The reversal of 404142144 is 441241404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

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, 33792 + ... + 44160.

Almost surely, 2^404142144 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 404142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632155200).

404142144 is an abundant number, since it is smaller than the sum of its proper divisors (860168256).

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

404142144 is a wasteful number, since it uses less digits than its factorization.

404142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10420 (or 10410 counting only the distinct ones).

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

The square root of 404142144 is about 20103.2868954308. The cubic root of 404142144 is about 739.3408691256.

Adding to 404142144 its reverse (441241404), we get a palindrome (845383548).

The spelling of 404142144 in words is "four hundred four million, one hundred forty-two thousand, one hundred forty-four".