404021113040 has 80 divisors (see below), whose sum is σ = 957046865616. Its totient is φ = 158592000000.

The previous prime is 404021113019. The next prime is 404021113087. The reversal of 404021113040 is 40311120404.

It can be written as a sum of positive squares in 8 ways, for example, as 1283645584 + 402737467456 = 35828^2 + 634616^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 691790 + ... + 1134290.

Almost surely, 2^404021113040 is an apocalyptic number.

404021113040 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 404021113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478523432808).

404021113040 is an abundant number, since it is smaller than the sum of its proper divisors (553025752576).

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

404021113040 is a wasteful number, since it uses less digits than its factorization.

404021113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442728 (or 442722 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 404021113040 its reverse (40311120404), we get a palindrome (444332233444).

The spelling of 404021113040 in words is "four hundred four billion, twenty-one million, one hundred thirteen thousand, forty".