404048008000 has 448 divisors, whose sum is σ = 1238170752000. Its totient is φ = 127186329600.

The previous prime is 404048007929. The next prime is 404048008037. The reversal of 404048008000 is 800840404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 404048008000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144870606 + ... + 144873394.

It is an arithmetic number, because the mean of its divisors is an integer number (2763774000).

Almost surely, 2^404048008000 is an apocalyptic number.

404048008000 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 404048008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619085376000).

404048008000 is an abundant number, since it is smaller than the sum of its proper divisors (834122744000).

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

404048008000 is a wasteful number, since it uses less digits than its factorization.

404048008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 404048008000 its reverse (800840404), we get a palindrome (404848848404).

The spelling of 404048008000 in words is "four hundred four billion, forty-eight million, eight thousand".