540406651221 has 12 divisors (see below), whose sum is σ = 780594354540. Its totient is φ = 360267884160.

The previous prime is 540406651207. The next prime is 540406651229. The reversal of 540406651221 is 122156604045.

540406651221 is a `hidden beast` number, since 5 + 40 + 40 + 66 + 512 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 298525640625 + 241881010596 = 546375^2 + 491814^2 .

It is not a de Polignac number, because 540406651221 - 2¹¹ = 540406649173 is a prime.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540406651229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1246141 + ... + 1622861.

It is an arithmetic number, because the mean of its divisors is an integer number (65049529545).

Almost surely, 2^540406651221 is an apocalyptic number.

It is an amenable number.

540406651221 is a deficient number, since it is larger than the sum of its proper divisors (240187703319).

540406651221 is a wasteful number, since it uses less digits than its factorization.

540406651221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536116 (or 536113 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 540406651221 in words is "five hundred forty billion, four hundred six million, six hundred fifty-one thousand, two hundred twenty-one".