402321681216 has 1260 divisors, whose sum is σ = 1574720170848. Its totient is φ = 99425304576.

The previous prime is 402321681197. The next prime is 402321681227. The reversal of 402321681216 is 612186123204.

It is a happy number.

402321681216 is a `hidden beast` number, since 40 + 2 + 321 + 6 + 81 + 216 = 666.

402321681216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1772342095 + ... + 1772342321.

Almost surely, 2^402321681216 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 402321681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787360085424).

402321681216 is an abundant number, since it is smaller than the sum of its proper divisors (1172398489632).

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

402321681216 is a wasteful number, since it uses less digits than its factorization.

402321681216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 402321681216 in words is "four hundred two billion, three hundred twenty-one million, six hundred eighty-one thousand, two hundred sixteen".