542243434135200 has 288 divisors, whose sum is σ = 2071663025330304. Its totient is φ = 120591589847040.

The previous prime is 542243434135153. The next prime is 542243434135217. The reversal of 542243434135200 is 2531434342245.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435545899 + ... + 436789098.

It is an arithmetic number, because the mean of its divisors is an integer number (7193274393508).

Almost surely, 2^{542243434135200} is an apocalyptic number.

542243434135200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542243434135200 is an abundant number, since it is smaller than the sum of its proper divisors (1529419591195104).

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

542243434135200 is a wasteful number, since it uses less digits than its factorization.

542243434135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872335064 (or 872335051 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

Adding to 542243434135200 its reverse (2531434342245), we get a palindrome (544774868477445).

The spelling of 542243434135200 in words is "five hundred forty-two trillion, two hundred forty-three billion, four hundred thirty-four million, one hundred thirty-five thousand, two hundred".