11012410400 has 144 divisors (see below), whose sum is σ = 27416995200. Its totient is φ = 4318479360.

The previous prime is 11012410379. The next prime is 11012410417. The reversal of 11012410400 is 401421011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10301066 + ... + 10302134.

It is an arithmetic number, because the mean of its divisors is an integer number (190395800).

Almost surely, 2^11012410400 is an apocalyptic number.

11012410400 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 11012410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708497600).

11012410400 is an abundant number, since it is smaller than the sum of its proper divisors (16404584800).

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

11012410400 is a wasteful number, since it uses less digits than its factorization.

11012410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11012410400 its reverse (401421011), we get a palindrome (11413831411).

The spelling of 11012410400 in words is "eleven billion, twelve million, four hundred ten thousand, four hundred".