404024204016 has 200 divisors, whose sum is σ = 1280846167920. Its totient is φ = 122381715456.

The previous prime is 404024203969. The next prime is 404024204041. The reversal of 404024204016 is 610402420404.

It is a happy number.

404024204016 is a `hidden beast` number, since 40 + 402 + 4 + 204 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 322755 + ... + 955101.

Almost surely, 2^404024204016 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 404024204016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640423083960).

404024204016 is an abundant number, since it is smaller than the sum of its proper divisors (876821963904).

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

404024204016 is a wasteful number, since it uses less digits than its factorization.

404024204016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632413 (or 632398 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 404024204016 in words is "four hundred four billion, twenty-four million, two hundred four thousand, sixteen".