201044442400 has 72 divisors (see below), whose sum is σ = 494546565744. Its totient is φ = 79803859200.

The previous prime is 201044442371. The next prime is 201044442413. The reversal of 201044442400 is 4244440102.

201044442400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 854382 + ... + 1063981.

It is an arithmetic number, because the mean of its divisors is an integer number (6868702302).

Almost surely, 2^201044442400 is an apocalyptic number.

201044442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201044442400 is an abundant number, since it is smaller than the sum of its proper divisors (293502123344).

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

201044442400 is a wasteful number, since it uses less digits than its factorization.

201044442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918514 (or 1918501 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 201044442400 its reverse (4244440102), we get a palindrome (205288882502).

The spelling of 201044442400 in words is "two hundred one billion, forty-four million, four hundred forty-two thousand, four hundred".