542214243200 has 144 divisors (see below), whose sum is σ = 1558122930000. Its totient is φ = 185901972480.

The previous prime is 542214243187. The next prime is 542214243203. The reversal of 542214243200 is 2342412245.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542214243203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1572200 + ... + 1885799.

It is an arithmetic number, because the mean of its divisors is an integer number (10820298125).

Almost surely, 2^542214243200 is an apocalyptic number.

542214243200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542214243200 is an abundant number, since it is smaller than the sum of its proper divisors (1015908686800).

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

542214243200 is a wasteful number, since it uses less digits than its factorization.

542214243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458037 (or 3458013 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 542214243200 its reverse (2342412245), we get a palindrome (544556655445).

The spelling of 542214243200 in words is "five hundred forty-two billion, two hundred fourteen million, two hundred forty-three thousand, two hundred".