404883425152 has 128 divisors (see below), whose sum is σ = 823245508800. Its totient is φ = 198318489600.

The previous prime is 404883425147. The next prime is 404883425153. The reversal of 404883425152 is 251524388404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×404883425152³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404883425153) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1009684152 + ... + 1009684552.

Almost surely, 2^404883425152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404883425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411622754400).

404883425152 is an abundant number, since it is smaller than the sum of its proper divisors (418362083648).

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

404883425152 is a wasteful number, since it uses less digits than its factorization.

404883425152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 46.

The spelling of 404883425152 in words is "four hundred four billion, eight hundred eighty-three million, four hundred twenty-five thousand, one hundred fifty-two".