404004400440 has 64 divisors (see below), whose sum is σ = 1212109176960. Its totient is φ = 107725975680.

The previous prime is 404004400369. The next prime is 404004400447. The reversal of 404004400440 is 44004400404.

It is a Harshad number since it is a multiple of its sum of digits (24).

404004400440 is a modest number, since divided by 4400440 gives 4040 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 404004400440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404004400447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1468267 + ... + 1721573.

It is an arithmetic number, because the mean of its divisors is an integer number (18939205890).

Almost surely, 2^404004400440 is an apocalyptic number.

404004400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404004400440 is an abundant number, since it is smaller than the sum of its proper divisors (808104776520).

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

404004400440 is a wasteful number, since it uses less digits than its factorization.

404004400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266612 (or 266608 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 404004400440 its reverse (44004400404), we get a palindrome (448008800844).

The spelling of 404004400440 in words is "four hundred four billion, four million, four hundred thousand, four hundred forty".