201144021132400 has 60 divisors (see below), whose sum is σ = 483427560609000. Its totient is φ = 80427797866240.

The previous prime is 201144021132367. The next prime is 201144021132401. The reversal of 201144021132400 is 4231120441102.

It is a super-2 number, since 2×201144021132400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201144021132401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92077135 + ... + 94236334.

It is an arithmetic number, because the mean of its divisors is an integer number (8057126010150).

Almost surely, 2^{201144021132400} is an apocalyptic number.

201144021132400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201144021132400 is an abundant number, since it is smaller than the sum of its proper divisors (282283539476600).

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

201144021132400 is a wasteful number, since it uses less digits than its factorization.

201144021132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186316186 (or 186316175 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 201144021132400 its reverse (4231120441102), we get a palindrome (205375141573502).

The spelling of 201144021132400 in words is "two hundred one trillion, one hundred forty-four billion, twenty-one million, one hundred thirty-two thousand, four hundred".