11400413184 has 384 divisors, whose sum is σ = 35986579200. Its totient is φ = 3468165120.

The previous prime is 11400413113. The next prime is 11400413209. The reversal of 11400413184 is 48131400411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 265125867 + ... + 265125909.

It is an arithmetic number, because the mean of its divisors is an integer number (93715050).

Almost surely, 2^11400413184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11400413184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17993289600).

11400413184 is an abundant number, since it is smaller than the sum of its proper divisors (24586166016).

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

11400413184 is an equidigital number, since it uses as much as digits as its factorization.

11400413184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11400413184 its reverse (48131400411), we get a palindrome (59531813595).

The spelling of 11400413184 in words is "eleven billion, four hundred million, four hundred thirteen thousand, one hundred eighty-four".