404121694080 has 256 divisors, whose sum is σ = 1431977379840. Its totient is φ = 96267018240.

The previous prime is 404121694057. The next prime is 404121694129. The reversal of 404121694080 is 80496121404.

404121694080 is digitally balanced in base 4, 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 (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512619 + ... + 1034901.

It is an arithmetic number, because the mean of its divisors is an integer number (5593661640).

Almost surely, 2^404121694080 is an apocalyptic number.

404121694080 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 404121694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715988689920).

404121694080 is an abundant number, since it is smaller than the sum of its proper divisors (1027855685760).

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

404121694080 is a wasteful number, since it uses less digits than its factorization.

404121694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522349 (or 522337 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 404121694080 in words is "four hundred four billion, one hundred twenty-one million, six hundred ninety-four thousand, eighty".