201044400144 has 80 divisors (see below), whose sum is σ = 593612482560. Its totient is φ = 57436145280.

The previous prime is 201044400127. The next prime is 201044400197. The reversal of 201044400144 is 441004440102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5394727 + ... + 5431865.

It is an arithmetic number, because the mean of its divisors is an integer number (7420156032).

Almost surely, 2^201044400144 is an apocalyptic number.

201044400144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201044400144 is an abundant number, since it is smaller than the sum of its proper divisors (392568082416).

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

201044400144 is a wasteful number, since it uses less digits than its factorization.

201044400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53268 (or 53262 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 201044400144 its reverse (441004440102), we get a palindrome (642048840246).

The spelling of 201044400144 in words is "two hundred one billion, forty-four million, four hundred thousand, one hundred forty-four".