10201413044440 has 64 divisors (see below), whose sum is σ = 23028702644160. Its totient is φ = 4067154685440.

The previous prime is 10201413044419. The next prime is 10201413044441. The reversal of 10201413044440 is 4444031410201.

It is a junction number, because it is equal to n+sod(n) for n = 10201413044399 and 10201413044408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201413044441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20445130 + ... + 20938150.

It is an arithmetic number, because the mean of its divisors is an integer number (359823478815).

Almost surely, 2^{10201413044440} is an apocalyptic number.

10201413044440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201413044440 is an abundant number, since it is smaller than the sum of its proper divisors (12827289599720).

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

10201413044440 is a wasteful number, since it uses less digits than its factorization.

10201413044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494732 (or 494728 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10201413044440 its reverse (4444031410201), we get a palindrome (14645444454641).

The spelling of 10201413044440 in words is "ten trillion, two hundred one billion, four hundred thirteen million, forty-four thousand, four hundred forty".