402170433168 has 320 divisors, whose sum is σ = 1288865364480. Its totient is φ = 105456992256.

The previous prime is 402170433167. The next prime is 402170433187. The reversal of 402170433168 is 861334071204.

402170433168 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (402170433167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37105446 + ... + 37116282.

It is an arithmetic number, because the mean of its divisors is an integer number (4027704264).

Almost surely, 2^402170433168 is an apocalyptic number.

402170433168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402170433168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644432682240).

402170433168 is an abundant number, since it is smaller than the sum of its proper divisors (886694931312).

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

402170433168 is a wasteful number, since it uses less digits than its factorization.

402170433168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11034 (or 11028 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 402170433168 in words is "four hundred two billion, one hundred seventy million, four hundred thirty-three thousand, one hundred sixty-eight".