404440400000 has 768 divisors, whose sum is σ = 1274408432640. Its totient is φ = 124416000000.

The previous prime is 404440399999. The next prime is 404440400003. The reversal of 404440400000 is 4044404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (404440400003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1492399865 + ... + 1492400135.

It is an arithmetic number, because the mean of its divisors is an integer number (1659385980).

Almost surely, 2^404440400000 is an apocalyptic number.

404440400000 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 404440400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637204216320).

404440400000 is an abundant number, since it is smaller than the sum of its proper divisors (869968032640).

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

404440400000 is an equidigital number, since it uses as much as digits as its factorization.

404440400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 404440400000 its reverse (4044404), we get a palindrome (404444444404).

404440400000 divided by its reverse (4044404) gives a 5-th power (100000 = 10⁵).

The spelling of 404440400000 in words is "four hundred four billion, four hundred forty million, four hundred thousand".