10200444441440 has 192 divisors, whose sum is σ = 26943505569792. Its totient is φ = 3617039462400.

The previous prime is 10200444441401. The next prime is 10200444441457. The reversal of 10200444441440 is 4414444400201.

10200444441440 is digitally balanced in base 2, 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 10200444441397 and 10200444441406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154605899 + ... + 154671861.

It is an arithmetic number, because the mean of its divisors is an integer number (140330758176).

Almost surely, 2^{10200444441440} is an apocalyptic number.

10200444441440 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 10200444441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471752784896).

10200444441440 is an abundant number, since it is smaller than the sum of its proper divisors (16743061128352).

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

10200444441440 is a wasteful number, since it uses less digits than its factorization.

10200444441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68173 (or 68165 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 10200444441440 its reverse (4414444400201), we get a palindrome (14614888841641).

The spelling of 10200444441440 in words is "ten trillion, two hundred billion, four hundred forty-four million, four hundred forty-one thousand, four hundred forty".