542313730040 has 64 divisors (see below), whose sum is σ = 1240780464000. Its totient is φ = 213290588160.

The previous prime is 542313730031. The next prime is 542313730061. The reversal of 542313730040 is 40037313245.

It is a junction number, because it is equal to n+sod(n) for n = 542313729979 and 542313730006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405506 + ... + 1117614.

It is an arithmetic number, because the mean of its divisors is an integer number (19387194750).

Almost surely, 2^542313730040 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 542313730040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620390232000).

542313730040 is an abundant number, since it is smaller than the sum of its proper divisors (698466733960).

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

542313730040 is a wasteful number, since it uses less digits than its factorization.

542313730040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712440 (or 712436 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The spelling of 542313730040 in words is "five hundred forty-two billion, three hundred thirteen million, seven hundred thirty thousand, forty".