404728423848000 has 10080 divisors, whose sum is σ = 2039130014118912. Its totient is φ = 78632902656000.

The previous prime is 404728423847989. The next prime is 404728423848029. The reversal of 404728423848000 is 848324827404.

404728423848000 is a `hidden beast` number, since 4 + 0 + 47 + 28 + 423 + 84 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 6040722743967 + ... + 6040722744033.

Almost surely, 2^{404728423848000} is an apocalyptic number.

404728423848000 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 404728423848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019565007059456).

404728423848000 is an abundant number, since it is smaller than the sum of its proper divisors (1634401590270912).

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

404728423848000 is a wasteful number, since it uses less digits than its factorization.

404728423848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 54.

The spelling of 404728423848000 in words is "four hundred four trillion, seven hundred twenty-eight billion, four hundred twenty-three million, eight hundred forty-eight thousand".