540004414122405 has 96 divisors (see below), whose sum is σ = 1016099178651648. Its totient is φ = 274786433812800.

The previous prime is 540004414122359. The next prime is 540004414122449. The reversal of 540004414122405 is 504221414400045.

540004414122405 is a `hidden beast` number, since 5 + 400 + 0 + 4 + 4 + 1 + 4 + 1 + 2 + 240 + 5 = 666.

It is not a de Polignac number, because 540004414122405 - 2¹⁴ = 540004414106021 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 540004414122405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98290819 + ... + 103639248.

It is an arithmetic number, because the mean of its divisors is an integer number (10584366444288).

Almost surely, 2^{540004414122405} is an apocalyptic number.

It is an amenable number.

540004414122405 is a deficient number, since it is larger than the sum of its proper divisors (476094764529243).

540004414122405 is a wasteful number, since it uses less digits than its factorization.

540004414122405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201930189 (or 201930177 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 540004414122405 in words is "five hundred forty trillion, four billion, four hundred fourteen million, one hundred twenty-two thousand, four hundred five".