201044412400 has 240 divisors, whose sum is σ = 531548166240. Its totient is φ = 72615628800.

The previous prime is 201044412391. The next prime is 201044412403. The reversal of 201044412400 is 4214440102.

It is a super-2 number, since 2×201044412400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201044412403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115475530 + ... + 115477270.

It is an arithmetic number, because the mean of its divisors is an integer number (2214784026).

Almost surely, 2^201044412400 is an apocalyptic number.

201044412400 is a gapful number since it is divisible by the number (20) 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 201044412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265774083120).

201044412400 is an abundant number, since it is smaller than the sum of its proper divisors (330503753840).

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

201044412400 is a wasteful number, since it uses less digits than its factorization.

201044412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 201044412400 its reverse (4214440102), we get a palindrome (205258852502).

The spelling of 201044412400 in words is "two hundred one billion, forty-four million, four hundred twelve thousand, four hundred".