400404224016 has 360 divisors, whose sum is σ = 1216927674144. Its totient is φ = 122843381760.

The previous prime is 400404223993. The next prime is 400404224081. The reversal of 400404224016 is 610422404004.

It is a happy number.

400404224016 is a `hidden beast` number, since 4 + 0 + 0 + 404 + 2 + 240 + 16 = 666.

It is a super-2 number, since 2×400404224016² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 454487896 + ... + 454488776.

Almost surely, 2^400404224016 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 400404224016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608463837072).

400404224016 is an abundant number, since it is smaller than the sum of its proper divisors (816523450128).

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

400404224016 is a wasteful number, since it uses less digits than its factorization.

400404224016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1133 counting only the distinct ones).

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

The spelling of 400404224016 in words is "four hundred billion, four hundred four million, two hundred twenty-four thousand, sixteen".