42166043460 has 144 divisors (see below), whose sum is σ = 129915100224. Its totient is φ = 11068441344.

The previous prime is 42166043453. The next prime is 42166043501. The reversal of 42166043460 is 6434066124.

42166043460 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 604 + 3 + 46 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4223034 + ... + 4233006.

It is an arithmetic number, because the mean of its divisors is an integer number (902188196).

Almost surely, 2^42166043460 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 42166043460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64957550112).

42166043460 is an abundant number, since it is smaller than the sum of its proper divisors (87749056764).

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

42166043460 is a wasteful number, since it uses less digits than its factorization.

42166043460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10354 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 42166043460 in words is "forty-two billion, one hundred sixty-six million, forty-three thousand, four hundred sixty".