542445361920 has 2592 divisors, whose sum is σ = 2564890997760. Its totient is φ = 107296358400.

The previous prime is 542445361903. The next prime is 542445361961. The reversal of 542445361920 is 29163544245.

542445361920 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 4 + 5 + 3 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 7640075485 + ... + 7640075555.

It is an arithmetic number, because the mean of its divisors is an integer number (989541280).

Almost surely, 2^542445361920 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 542445361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282445498880).

542445361920 is an abundant number, since it is smaller than the sum of its proper divisors (2022445635840).

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

542445361920 is a wasteful number, since it uses less digits than its factorization.

542445361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 542445361920 in words is "five hundred forty-two billion, four hundred forty-five million, three hundred sixty-one thousand, nine hundred twenty".