541464875424 has 72 divisors (see below), whose sum is σ = 1679771725632. Its totient is φ = 164080264320.

The previous prime is 541464875291. The next prime is 541464875449. The reversal of 541464875424 is 424578464145.

541464875424 is a `hidden beast` number, since 5 + 4 + 14 + 6 + 4 + 87 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×541464875424² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 85455304 + ... + 85461639.

It is an arithmetic number, because the mean of its divisors is an integer number (23330162856).

Almost surely, 2^541464875424 is an apocalyptic number.

It is an amenable number.

541464875424 is an abundant number, since it is smaller than the sum of its proper divisors (1138306850208).

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

541464875424 is a wasteful number, since it uses less digits than its factorization.

541464875424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170916970 (or 170916959 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 54.

The spelling of 541464875424 in words is "five hundred forty-one billion, four hundred sixty-four million, eight hundred seventy-five thousand, four hundred twenty-four".