42166244152164 has 96 divisors (see below), whose sum is σ = 108167768755200. Its totient is φ = 12678291884160.

The previous prime is 42166244152127. The next prime is 42166244152199. The reversal of 42166244152164 is 46125144266124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30684369 + ... + 32029095.

It is an arithmetic number, because the mean of its divisors is an integer number (1126747591200).

Almost surely, 2^{42166244152164} is an apocalyptic number.

42166244152164 is a gapful number since it is divisible by the number (44) 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 42166244152164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54083884377600).

42166244152164 is an abundant number, since it is smaller than the sum of its proper divisors (66001524603036).

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

42166244152164 is a wasteful number, since it uses less digits than its factorization.

42166244152164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346593 (or 1346591 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The spelling of 42166244152164 in words is "forty-two trillion, one hundred sixty-six billion, two hundred forty-four million, one hundred fifty-two thousand, one hundred sixty-four".