402224361984 has 180 divisors, whose sum is σ = 1205443516134. Its totient is φ = 134073667584.

The previous prime is 402224361971. The next prime is 402224362019. The reversal of 402224361984 is 489163422204.

402224361984 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 24 + 3 + 619 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 350786121984 + 51438240000 = 592272^2 + 226800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3299364 + ... + 3419100.

Almost surely, 2^402224361984 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 402224361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602721758067).

402224361984 is an abundant number, since it is smaller than the sum of its proper divisors (803219154150).

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

402224361984 is an frugal number, since it uses more digits than its factorization.

402224361984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119779 (or 119742 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 402224361984 in words is "four hundred two billion, two hundred twenty-four million, three hundred sixty-one thousand, nine hundred eighty-four".