404206047168 has 448 divisors, whose sum is σ = 1435768934400. Its totient is φ = 97134428160.

The previous prime is 404206047127. The next prime is 404206047169. The reversal of 404206047168 is 861740602404.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404206047169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14814723 + ... + 14841981.

Almost surely, 2^404206047168 is an apocalyptic number.

404206047168 is a gapful number since it is divisible by the number (48) 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 404206047168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717884467200).

404206047168 is an abundant number, since it is smaller than the sum of its proper divisors (1031562887232).

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

404206047168 is a wasteful number, since it uses less digits than its factorization.

404206047168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27368 (or 27358 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 404206047168 in words is "four hundred four billion, two hundred six million, forty-seven thousand, one hundred sixty-eight".