10211113440400 has 30 divisors (see below), whose sum is σ = 24532200041522. Its totient is φ = 4084445376000.

The previous prime is 10211113440389. The next prime is 10211113440449. The reversal of 10211113440400 is 404431111201.

It can be written as a sum of positive squares in 3 ways, for example, as 2852437255056 + 7358676185344 = 1688916^2 + 2712688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12763891401 + ... + 12763892200.

Almost surely, 2^{10211113440400} is an apocalyptic number.

10211113440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211113440400 is an abundant number, since it is smaller than the sum of its proper divisors (14321086601122).

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

10211113440400 is a wasteful number, since it uses less digits than its factorization.

10211113440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25527783619 (or 25527783608 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10211113440400 its reverse (404431111201), we get a palindrome (10615544551601).

The spelling of 10211113440400 in words is "ten trillion, two hundred eleven billion, one hundred thirteen million, four hundred forty thousand, four hundred".