5414042861568 has 1152 divisors, whose sum is σ = 18943753409280. Its totient is φ = 1528823808000.

The previous prime is 5414042861533. The next prime is 5414042861569. The reversal of 5414042861568 is 8651682404145.

5414042861568 is a `hidden beast` number, since 5 + 4 + 1 + 404 + 2 + 86 + 156 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5414042861568² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5414042861569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53604384718 + ... + 53604384818.

It is an arithmetic number, because the mean of its divisors is an integer number (16444230390).

Almost surely, 2^{5414042861568} 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 5414042861568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9471876704640).

5414042861568 is an abundant number, since it is smaller than the sum of its proper divisors (13529710547712).

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

5414042861568 is an frugal number, since it uses more digits than its factorization.

5414042861568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 5414042861568 in words is "five trillion, four hundred fourteen billion, forty-two million, eight hundred sixty-one thousand, five hundred sixty-eight".