4840312405041 has 27 divisors (see below), whose sum is σ = 7081946309529. Its totient is φ = 3185685207432.

The previous prime is 4840312404973. The next prime is 4840312405121. The reversal of 4840312405041 is 1405042130484.

The square root of 4840312405041 is 2200071.

It is a perfect power (a square), and thus also a powerful number.

4840312405041 is a `hidden beast` number, since 4 + 8 + 403 + 1 + 240 + 5 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 4840312405041 - 2⁴¹ = 2641289149489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4840312404987 and 4840312405005.

It is not an unprimeable number, because it can be changed into a prime (4840312405241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 521412186 + ... + 521421468.

Almost surely, 2^{4840312405041} is an apocalyptic number.

4840312405041 is the 2200071-st square number.

4840312405041 is the 1100036-th centered octagonal number.

It is an amenable number.

4840312405041 is a deficient number, since it is larger than the sum of its proper divisors (2241633904488).

4840312405041 is an frugal number, since it uses more digits than its factorization.

4840312405041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18730 (or 9365 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Multiplying 4840312405041 by its sum of digits (36), we get a square (174251246581476 = 13200426²).

The spelling of 4840312405041 in words is "four trillion, eight hundred forty billion, three hundred twelve million, four hundred five thousand, forty-one".