42154354161 has 96 divisors (see below), whose sum is σ = 68335488000. Its totient is φ = 24916788864.

The previous prime is 42154354133. The next prime is 42154354163. The reversal of 42154354161 is 16145345124.

42154354161 is a `hidden beast` number, since 4 + 2 + 1 + 54 + 3 + 541 + 61 = 666.

It is not a de Polignac number, because 42154354161 - 2⁵ = 42154354129 is a prime.

Its product of digits (57600) is a multiple of the sum of its prime divisors (960).

It is not an unprimeable number, because it can be changed into a prime (42154354163) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 90266050 + ... + 90266516.

It is an arithmetic number, because the mean of its divisors is an integer number (711828000).

Almost surely, 2^42154354161 is an apocalyptic number.

It is an amenable number.

42154354161 is a deficient number, since it is larger than the sum of its proper divisors (26181133839).

42154354161 is a wasteful number, since it uses less digits than its factorization.

42154354161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 960 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 42154354161 its reverse (16145345124), we get a palindrome (58299699285).

The spelling of 42154354161 in words is "forty-two billion, one hundred fifty-four million, three hundred fifty-four thousand, one hundred sixty-one".