542382228000 has 576 divisors, whose sum is σ = 2013675116544. Its totient is φ = 137998080000.

The previous prime is 542382227917. The next prime is 542382228019. The reversal of 542382228000 is 822283245.

542382228000 is a `hidden beast` number, since 5 + 423 + 8 + 2 + 228 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 547307505 + ... + 547308495.

It is an arithmetic number, because the mean of its divisors is an integer number (3495963744).

Almost surely, 2^542382228000 is an apocalyptic number.

542382228000 is a gapful number since it is divisible by the number (50) 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 542382228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006837558272).

542382228000 is an abundant number, since it is smaller than the sum of its proper divisors (1471292888544).

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

542382228000 is a wasteful number, since it uses less digits than its factorization.

542382228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 542382228000 in words is "five hundred forty-two billion, three hundred eighty-two million, two hundred twenty-eight thousand".