1532400042200 has 192 divisors, whose sum is σ = 3809049360000. Its totient is φ = 571640509440.

The previous prime is 1532400042197. The next prime is 1532400042223. The reversal of 1532400042200 is 22400042351.

It is a happy number.

It is a congruent number.

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, 151732751 + ... + 151742849.

It is an arithmetic number, because the mean of its divisors is an integer number (19838798750).

Almost surely, 2^{1532400042200} is an apocalyptic number.

1532400042200 is a gapful number since it is divisible by the number (10) 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 1532400042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904524680000).

1532400042200 is an abundant number, since it is smaller than the sum of its proper divisors (2276649317800).

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

1532400042200 is a wasteful number, since it uses less digits than its factorization.

1532400042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10754 (or 10745 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 1532400042200 its reverse (22400042351), we get a palindrome (1554800084551).

The spelling of 1532400042200 in words is "one trillion, five hundred thirty-two billion, four hundred million, forty-two thousand, two hundred".