542865764441 has 144 divisors (see below), whose sum is σ = 794234818944. Its totient is φ = 360790848000.

The previous prime is 542865764401. The next prime is 542865764453. The reversal of 542865764441 is 144467568245.

It is not a de Polignac number, because 542865764441 - 2⁶ = 542865764377 is a prime.

It is a super-2 number, since 2×542865764441² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (542865764401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162972146 + ... + 162975476.

It is an arithmetic number, because the mean of its divisors is an integer number (5515519576).

Almost surely, 2^542865764441 is an apocalyptic number.

It is an amenable number.

542865764441 is a deficient number, since it is larger than the sum of its proper divisors (251369054503).

542865764441 is a wasteful number, since it uses less digits than its factorization.

542865764441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3422 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 56.

The spelling of 542865764441 in words is "five hundred forty-two billion, eight hundred sixty-five million, seven hundred sixty-four thousand, four hundred forty-one".