542468899440 has 320 divisors, whose sum is σ = 2025068304000. Its totient is φ = 132679213056.

The previous prime is 542468899417. The next prime is 542468899487. The reversal of 542468899440 is 44998864245.

542468899440 is a `hidden beast` number, since 5 + 4 + 2 + 468 + 89 + 94 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4347036 + ... + 4470084.

It is an arithmetic number, because the mean of its divisors is an integer number (6328338450).

Almost surely, 2^542468899440 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 542468899440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012534152000).

542468899440 is an abundant number, since it is smaller than the sum of its proper divisors (1482599404560).

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

542468899440 is a wasteful number, since it uses less digits than its factorization.

542468899440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123241 (or 123229 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 542468899440 in words is "five hundred forty-two billion, four hundred sixty-eight million, eight hundred ninety-nine thousand, four hundred forty".