11307104400 has 120 divisors (see below), whose sum is σ = 36345173760. Its totient is φ = 3004843520.

The previous prime is 11307104381. The next prime is 11307104401. The reversal of 11307104400 is 440170311.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (11307104401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335521 + ... + 367679.

It is an arithmetic number, because the mean of its divisors is an integer number (302876448).

Almost surely, 2^11307104400 is an apocalyptic number.

11307104400 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 11307104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18172586880).

11307104400 is an abundant number, since it is smaller than the sum of its proper divisors (25038069360).

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

11307104400 is a wasteful number, since it uses less digits than its factorization.

11307104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32473 (or 32462 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 11307104400 its reverse (440170311), we get a palindrome (11747274711).

The spelling of 11307104400 in words is "eleven billion, three hundred seven million, one hundred four thousand, four hundred".