540030454142211 has 120 divisors (see below), whose sum is σ = 906524417549520. Its totient is φ = 319215416914944.

The previous prime is 540030454142189. The next prime is 540030454142297. The reversal of 540030454142211 is 112241454030045.

540030454142211 is a `hidden beast` number, since 5 + 40 + 0 + 3 + 0 + 454 + 142 + 21 + 1 = 666.

It is not a de Polignac number, because 540030454142211 - 2⁷ = 540030454142083 is a prime.

It is a super-3 number, since 3×540030454142211³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (540030454143211) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85945815 + ... + 92014911.

It is an arithmetic number, because the mean of its divisors is an integer number (7554370146246).

Almost surely, 2^{540030454142211} is an apocalyptic number.

540030454142211 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

540030454142211 is a deficient number, since it is larger than the sum of its proper divisors (366493963407309).

540030454142211 is a wasteful number, since it uses less digits than its factorization.

540030454142211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069343 (or 6069315 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 540030454142211 in words is "five hundred forty trillion, thirty billion, four hundred fifty-four million, one hundred forty-two thousand, two hundred eleven".