540042044540334 has 256 divisors, whose sum is σ = 1307581486202880. Its totient is φ = 145360823287680.

The previous prime is 540042044540329. The next prime is 540042044540347. The reversal of 540042044540334 is 433045440240045.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86117369619 + ... + 86117375889.

It is an arithmetic number, because the mean of its divisors is an integer number (5107740180480).

Almost surely, 2^{540042044540334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540042044540334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653790743101440).

540042044540334 is an abundant number, since it is smaller than the sum of its proper divisors (767539441662546).

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

540042044540334 is a wasteful number, since it uses less digits than its factorization.

540042044540334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8995.

The product of its (nonzero) digits is 1843200, while the sum is 42.

Adding to 540042044540334 its reverse (433045440240045), we get a palindrome (973087484780379).

The spelling of 540042044540334 in words is "five hundred forty trillion, forty-two billion, forty-four million, five hundred forty thousand, three hundred thirty-four".