542441044800 has 504 divisors, whose sum is σ = 1963237648320. Its totient is φ = 142027776000.

The previous prime is 542441044793. The next prime is 542441044807. The reversal of 542441044800 is 8440144245.

542441044800 is a `hidden beast` number, since 54 + 24 + 4 + 104 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (542441044793) and next prime (542441044807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542441044807) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 193520199 + ... + 193523001.

Almost surely, 2^542441044800 is an apocalyptic number.

542441044800 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 542441044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981618824160).

542441044800 is an abundant number, since it is smaller than the sum of its proper divisors (1420796603520).

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

542441044800 is a wasteful number, since it uses less digits than its factorization.

542441044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 542441044800 in words is "five hundred forty-two billion, four hundred forty-one million, forty-four thousand, eight hundred".