5541640461455 has 256 divisors, whose sum is σ = 8636129280000. Its totient is φ = 3397972032000.

The previous prime is 5541640461451. The next prime is 5541640461463.

5541640461455 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5541640461455 - 2² = 5541640461451 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5541640461451) 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 255 ways as a sum of consecutive naturals, for example, 10130969492 + ... + 10130970038.

It is an arithmetic number, because the mean of its divisors is an integer number (33734880000).

Almost surely, 2^{5541640461455} is an apocalyptic number.

5541640461455 is a deficient number, since it is larger than the sum of its proper divisors (3094488818545).

5541640461455 is a wasteful number, since it uses less digits than its factorization.

5541640461455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 50.

The spelling of 5541640461455 in words is "five trillion, five hundred forty-one billion, six hundred forty million, four hundred sixty-one thousand, four hundred fifty-five".