404095077974016 has 2736 divisors, whose sum is σ = 1497825916973568. Its totient is φ = 107323431321600.

The previous prime is 404095077973981. The next prime is 404095077974017. The reversal of 404095077974016 is 610479770590404.

404095077974016 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 9 + 507 + 79 + 7 + 40 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404095077974017) 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 143 ways as a sum of consecutive naturals, for example, 7624435433446 + ... + 7624435433498.

Almost surely, 2^{404095077974016} 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 404095077974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748912958486784).

404095077974016 is an abundant number, since it is smaller than the sum of its proper divisors (1093730838999552).

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

404095077974016 is an frugal number, since it uses more digits than its factorization.

404095077974016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 404095077974016 in words is "four hundred four trillion, ninety-five billion, seventy-seven million, nine hundred seventy-four thousand, sixteen".