11818742400 has 288 divisors, whose sum is σ = 43736784000. Its totient is φ = 3151457280.

The previous prime is 11818742393. The next prime is 11818742401. The reversal of 11818742400 is 424781811.

11818742400 is a `hidden beast` number, since 1 + 181 + 8 + 74 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11818742401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 770001 + ... + 785199.

Almost surely, 2^11818742400 is an apocalyptic number.

11818742400 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 11818742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21868392000).

11818742400 is an abundant number, since it is smaller than the sum of its proper divisors (31918041600).

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

11818742400 is an equidigital number, since it uses as much as digits as its factorization.

11818742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15238 (or 15209 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 11818742400 in words is "eleven billion, eight hundred eighteen million, seven hundred forty-two thousand, four hundred".