404024413040 has 80 divisors (see below), whose sum is σ = 953597528352. Its totient is φ = 159160860672.

The previous prime is 404024413027. The next prime is 404024413043. The reversal of 404024413040 is 40314420404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404024413043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42537572 + ... + 42547068.

Almost surely, 2^404024413040 is an apocalyptic number.

404024413040 is a gapful number since it is divisible by the number (40) 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 404024413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476798764176).

404024413040 is an abundant number, since it is smaller than the sum of its proper divisors (549573115312).

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

404024413040 is a wasteful number, since it uses less digits than its factorization.

404024413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17514 (or 17508 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 404024413040 its reverse (40314420404), we get a palindrome (444338833444).

The spelling of 404024413040 in words is "four hundred four billion, twenty-four million, four hundred thirteen thousand, forty".