404044320240 has 240 divisors, whose sum is σ = 1480686480000. Its totient is φ = 97922680320.

The previous prime is 404044320179. The next prime is 404044320259. The reversal of 404044320240 is 42023440404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53876011 + ... + 53883509.

It is an arithmetic number, because the mean of its divisors is an integer number (6169527000).

Almost surely, 2^404044320240 is an apocalyptic number.

404044320240 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 404044320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740343240000).

404044320240 is an abundant number, since it is smaller than the sum of its proper divisors (1076642159760).

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

404044320240 is a wasteful number, since it uses less digits than its factorization.

404044320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14332 (or 14323 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 404044320240 its reverse (42023440404), we get a palindrome (446067760644).

The spelling of 404044320240 in words is "four hundred four billion, forty-four million, three hundred twenty thousand, two hundred forty".