404011133440 has 80 divisors (see below), whose sum is σ = 977567465160. Its totient is φ = 160121733120.

The previous prime is 404011133399. The next prime is 404011133441. The reversal of 404011133440 is 44331110404.

It can be written as a sum of positive squares in 4 ways, for example, as 387202529536 + 16808603904 = 622256^2 + 129648^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (404011133441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444891 + ... + 1002970.

Almost surely, 2^404011133440 is an apocalyptic number.

404011133440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404011133440 is an abundant number, since it is smaller than the sum of its proper divisors (573556331720).

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

404011133440 is a wasteful number, since it uses less digits than its factorization.

404011133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447993 (or 1447977 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 404011133440 its reverse (44331110404), we get a palindrome (448342243844).

The spelling of 404011133440 in words is "four hundred four billion, eleven million, one hundred thirty-three thousand, four hundred forty".