404000000040 has 768 divisors, whose sum is σ = 1579070142720. Its totient is φ = 81888952320.

The previous prime is 403999999987. The next prime is 404000000069. The reversal of 404000000040 is 40000000404.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 403999999962 and 404000000025.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 234746380 + ... + 234748100.

It is an arithmetic number, because the mean of its divisors is an integer number (2056080915).

Almost surely, 2^404000000040 is an apocalyptic number.

404000000040 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 404000000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789535071360).

404000000040 is an abundant number, since it is smaller than the sum of its proper divisors (1175070142680).

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

404000000040 is a wasteful number, since it uses less digits than its factorization.

404000000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 404000000040 its reverse (40000000404), we get a palindrome (444000000444).

The spelling of 404000000040 in words is "four hundred four billion, forty", and thus it is an aban number.