541056471039 has 320 divisors, whose sum is σ = 1025969725440. Its totient is φ = 277413776640.

The previous prime is 541056471037. The next prime is 541056471119. The reversal of 541056471039 is 930174650145.

541056471039 is a `hidden beast` number, since 5 + 4 + 10 + 564 + 71 + 0 + 3 + 9 = 666.

It is not a de Polignac number, because 541056471039 - 2¹ = 541056471037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541056470985 and 541056471003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541056471037) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3319364772 + ... + 3319364934.

It is an arithmetic number, because the mean of its divisors is an integer number (3206155392).

Almost surely, 2^541056471039 is an apocalyptic number.

541056471039 is a deficient number, since it is larger than the sum of its proper divisors (484913254401).

541056471039 is a wasteful number, since it uses less digits than its factorization.

541056471039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 541056471039 in words is "five hundred forty-one billion, fifty-six million, four hundred seventy-one thousand, thirty-nine".