201144530334000 has 320 divisors, whose sum is σ = 717407610117120. Its totient is φ = 48075516160000.

The previous prime is 201144530333959. The next prime is 201144530334031. The reversal of 201144530334000 is 433035441102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16776285 + ... + 26148284.

It is an arithmetic number, because the mean of its divisors is an integer number (2241898781616).

Almost surely, 2^{201144530334000} is an apocalyptic number.

201144530334000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201144530334000 is an abundant number, since it is smaller than the sum of its proper divisors (516263079783120).

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

201144530334000 is a wasteful number, since it uses less digits than its factorization.

201144530334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42924677 (or 42924661 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 201144530334000 its reverse (433035441102), we get a palindrome (201577565775102).

The spelling of 201144530334000 in words is "two hundred one trillion, one hundred forty-four billion, five hundred thirty million, three hundred thirty-four thousand".