542781342144 has 280 divisors, whose sum is σ = 1624889123088. Its totient is φ = 179144110080.

The previous prime is 542781342133. The next prime is 542781342149. The reversal of 542781342144 is 441243187245.

542781342144 is a `hidden beast` number, since 5 + 427 + 8 + 1 + 3 + 4 + 214 + 4 = 666.

It is a super-2 number, since 2×542781342144² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 542781342144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542781342149) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 579275244 + ... + 579276180.

Almost surely, 2^542781342144 is an apocalyptic number.

542781342144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542781342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812444561544).

542781342144 is an abundant number, since it is smaller than the sum of its proper divisors (1082107780944).

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

542781342144 is a wasteful number, since it uses less digits than its factorization.

542781342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1926 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 542781342144 in words is "five hundred forty-two billion, seven hundred eighty-one million, three hundred forty-two thousand, one hundred forty-four".