540214402401 has 6 divisors (see below), whose sum is σ = 780309692370. Its totient is φ = 360142934928.

The previous prime is 540214402397. The next prime is 540214402433. The reversal of 540214402401 is 104204412045.

540214402401 is a `hidden beast` number, since 5 + 4 + 0 + 214 + 40 + 2 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 491372960400 + 48841442001 = 700980^2 + 221001^2 .

It is not a de Polignac number, because 540214402401 - 2² = 540214402397 is a prime.

It is a super-2 number, since 2×540214402401² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540214402451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30011911236 + ... + 30011911253.

It is an arithmetic number, because the mean of its divisors is an integer number (130051615395).

Almost surely, 2^540214402401 is an apocalyptic number.

It is an amenable number.

540214402401 is a deficient number, since it is larger than the sum of its proper divisors (240095289969).

540214402401 is a wasteful number, since it uses less digits than its factorization.

540214402401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60023822495 (or 60023822492 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 540214402401 its reverse (104204412045), we get a palindrome (644418814446).

The spelling of 540214402401 in words is "five hundred forty billion, two hundred fourteen million, four hundred two thousand, four hundred one".