540042542535040 has 128 divisors (see below), whose sum is σ = 1300137801949440. Its totient is φ = 214495845120000.

The previous prime is 540042542535007. The next prime is 540042542535073. The reversal of 540042542535040 is 40535245240045.

It is an interprime number because it is at equal distance from previous prime (540042542535007) and next prime (540042542535073).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227954995 + ... + 230311885.

It is an arithmetic number, because the mean of its divisors is an integer number (10157326577730).

Almost surely, 2^{540042542535040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540042542535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650068900974720).

540042542535040 is an abundant number, since it is smaller than the sum of its proper divisors (760095259414400).

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

540042542535040 is a wasteful number, since it uses less digits than its factorization.

540042542535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359432 (or 2359420 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 43.

Adding to 540042542535040 its reverse (40535245240045), we get a palindrome (580577787775085).

The spelling of 540042542535040 in words is "five hundred forty trillion, forty-two billion, five hundred forty-two million, five hundred thirty-five thousand, forty".