404020144032 has 96 divisors (see below), whose sum is σ = 1096014011904. Its totient is φ = 130180300800.

The previous prime is 404020144013. The next prime is 404020144091. The reversal of 404020144032 is 230441020404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 404020143993 and 404020144011.

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, 2544808 + ... + 2698904.

It is an arithmetic number, because the mean of its divisors is an integer number (11416812624).

Almost surely, 2^404020144032 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 404020144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548007005952).

404020144032 is an abundant number, since it is smaller than the sum of its proper divisors (691993867872).

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

404020144032 is a wasteful number, since it uses less digits than its factorization.

404020144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155022 (or 155014 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 404020144032 its reverse (230441020404), we get a palindrome (634461164436).

The spelling of 404020144032 in words is "four hundred four billion, twenty million, one hundred forty-four thousand, thirty-two".