10410011120 has 80 divisors (see below), whose sum is σ = 24660028800. Its totient is φ = 4085760000.

The previous prime is 10410011063. The next prime is 10410011159. The reversal of 10410011120 is 2111001401.

10410011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2188745 + ... + 2193495.

It is an arithmetic number, because the mean of its divisors is an integer number (308250360).

Almost surely, 2^10410011120 is an apocalyptic number.

10410011120 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 10410011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12330014400).

10410011120 is an abundant number, since it is smaller than the sum of its proper divisors (14250017680).

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

10410011120 is a wasteful number, since it uses less digits than its factorization.

10410011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10410011120 its reverse (2111001401), we get a palindrome (12521012521).

The spelling of 10410011120 in words is "ten billion, four hundred ten million, eleven thousand, one hundred twenty".