404015040000 has 2000 divisors, whose sum is σ = 1786545185040. Its totient is φ = 89579520000.

The previous prime is 404015039993. The next prime is 404015040001. The reversal of 404015040000 is 40510404.

It is a tau number, because it is divible by the number of its divisors (2000).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404015040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 3706559946 + ... + 3706560054.

Almost surely, 2^404015040000 is an apocalyptic number.

404015040000 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 404015040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893272592520).

404015040000 is an abundant number, since it is smaller than the sum of its proper divisors (1382530145040).

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

404015040000 is a wasteful number, since it uses less digits than its factorization.

404015040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 404015040000 its reverse (40510404), we get a palindrome (404055550404).

The spelling of 404015040000 in words is "four hundred four billion, fifteen million, forty thousand".