404145541404 has 144 divisors (see below), whose sum is σ = 1141356303360. Its totient is φ = 119547120000.

The previous prime is 404145541381. The next prime is 404145541421.

404145541404 is nontrivially palindromic in base 10.

404145541404 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2768557 + ... + 2910875.

It is an arithmetic number, because the mean of its divisors is an integer number (7926085440).

Almost surely, 2^404145541404 is an apocalyptic number.

404145541404 is a gapful number since it is divisible by the number (44) 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 404145541404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570678151680).

404145541404 is an abundant number, since it is smaller than the sum of its proper divisors (737210761956).

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

404145541404 is a wasteful number, since it uses less digits than its factorization.

404145541404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142512 (or 142507 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 404145 and 541404, that added together give a palindrome (945549).

The spelling of 404145541404 in words is "four hundred four billion, one hundred forty-five million, five hundred forty-one thousand, four hundred four".