4157576970912 has 120 divisors (see below), whose sum is σ = 12229694861076. Its totient is φ = 1385589639168.

The previous prime is 4157576970881. The next prime is 4157576970917. The reversal of 4157576970912 is 2190796757514.

4157576970912 is a `hidden beast` number, since 4 + 1 + 57 + 576 + 9 + 7 + 0 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2867617107216 + 1289959863696 = 1693404^2 + 1135764^2 .

It is a super-2 number, since 2×4157576970912² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4157576970912.

It is not an unprimeable number, because it can be changed into a prime (4157576970917) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13410678 + ... + 13717194.

Almost surely, 2^{4157576970912} 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 4157576970912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114847430538).

4157576970912 is an abundant number, since it is smaller than the sum of its proper divisors (8072117890164).

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

4157576970912 is a wasteful number, since it uses less digits than its factorization.

4157576970912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311772 (or 311755 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 4157576970912 in words is "four trillion, one hundred fifty-seven billion, five hundred seventy-six million, nine hundred seventy thousand, nine hundred twelve".