10143440221200 has 960 divisors, whose sum is σ = 40581672606720. Its totient is φ = 2129034240000.

The previous prime is 10143440221169. The next prime is 10143440221279. The reversal of 10143440221200 is 212204434101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 329284999 + ... + 329315801.

It is an arithmetic number, because the mean of its divisors is an integer number (42272575632).

Almost surely, 2^{10143440221200} is an apocalyptic number.

10143440221200 is a gapful number since it is divisible by the number (10) 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 10143440221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20290836303360).

10143440221200 is an abundant number, since it is smaller than the sum of its proper divisors (30438232385520).

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

10143440221200 is a wasteful number, since it uses less digits than its factorization.

10143440221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30968 (or 30957 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10143440221200 its reverse (212204434101), we get a palindrome (10355644655301).

The spelling of 10143440221200 in words is "ten trillion, one hundred forty-three billion, four hundred forty million, two hundred twenty-one thousand, two hundred".