542605271040 has 2688 divisors, whose sum is σ = 2581855948800. Its totient is φ = 107017666560.

The previous prime is 542605271017. The next prime is 542605271051. The reversal of 542605271040 is 40172506245.

It is a happy number.

542605271040 is a `hidden beast` number, since 5 + 4 + 2 + 605 + 2 + 7 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 542605270986 and 542605271004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17503395825 + ... + 17503395855.

Almost surely, 2^542605271040 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 542605271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290927974400).

542605271040 is an abundant number, since it is smaller than the sum of its proper divisors (2039250677760).

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

542605271040 is a wasteful number, since it uses less digits than its factorization.

542605271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 542605271040 its reverse (40172506245), we get a palindrome (582777777285).

The spelling of 542605271040 in words is "five hundred forty-two billion, six hundred five million, two hundred seventy-one thousand, forty".