540253606842 has 64 divisors (see below), whose sum is σ = 1253900943360. Its totient is φ = 172098167472.

The previous prime is 540253606831. The next prime is 540253606843. The reversal of 540253606842 is 248606352045.

540253606842 is a `hidden beast` number, since 54 + 0 + 2 + 536 + 0 + 68 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (540253606843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172743 + ... + 1567109.

It is an arithmetic number, because the mean of its divisors is an integer number (19592202240).

Almost surely, 2^540253606842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540253606842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626950471680).

540253606842 is an abundant number, since it is smaller than the sum of its proper divisors (713647336518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540253606842 is a wasteful number, since it uses less digits than its factorization.

540253606842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395504 (or 395498 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 540253606842 its reverse (248606352045), we get a palindrome (788859958887).

The spelling of 540253606842 in words is "five hundred forty billion, two hundred fifty-three million, six hundred six thousand, eight hundred forty-two".