402166259712 has 1344 divisors, whose sum is σ = 1526633472000. Its totient is φ = 105345515520.

The previous prime is 402166259687. The next prime is 402166259713. The reversal of 402166259712 is 217952661204.

402166259712 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 6 + 625 + 9 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (402166259713) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12973105137 + ... + 12973105167.

It is an arithmetic number, because the mean of its divisors is an integer number (1135888000).

Almost surely, 2^402166259712 is an apocalyptic number.

402166259712 is a gapful number since it is divisible by the number (42) 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 402166259712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763316736000).

402166259712 is an abundant number, since it is smaller than the sum of its proper divisors (1124467212288).

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

402166259712 is an frugal number, since it uses more digits than its factorization.

402166259712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 402166259712 in words is "four hundred two billion, one hundred sixty-six million, two hundred fifty-nine thousand, seven hundred twelve".