4165728542112 has 96 divisors (see below), whose sum is σ = 11027303667072. Its totient is φ = 1376896195584.

The previous prime is 4165728542099. The next prime is 4165728542153. The reversal of 4165728542112 is 2112458275614.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7056298 + ... + 7623830.

It is an arithmetic number, because the mean of its divisors is an integer number (114867746532).

Almost surely, 2^{4165728542112} 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 4165728542112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513651833536).

4165728542112 is an abundant number, since it is smaller than the sum of its proper divisors (6861575124960).

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

4165728542112 is a wasteful number, since it uses less digits than its factorization.

4165728542112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568190 (or 568182 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The spelling of 4165728542112 in words is "four trillion, one hundred sixty-five billion, seven hundred twenty-eight million, five hundred forty-two thousand, one hundred twelve".