404135045440 has 112 divisors (see below), whose sum is σ = 1100469866112. Its totient is φ = 138479302656.

The previous prime is 404135045429. The next prime is 404135045471. The reversal of 404135045440 is 44540531404.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 404135045396 and 404135045405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3829867 + ... + 3933973.

Almost surely, 2^404135045440 is an apocalyptic number.

404135045440 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 404135045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550234933056).

404135045440 is an abundant number, since it is smaller than the sum of its proper divisors (696334820672).

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

404135045440 is a wasteful number, since it uses less digits than its factorization.

404135045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105864 (or 105854 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 404135045440 its reverse (44540531404), we get a palindrome (448675576844).

The spelling of 404135045440 in words is "four hundred four billion, one hundred thirty-five million, forty-five thousand, four hundred forty".