11840774400 has 1080 divisors, whose sum is σ = 54098662464. Its totient is φ = 2488320000.

The previous prime is 11840774377. The next prime is 11840774411. The reversal of 11840774400 is 447704811.

11840774400 is a `hidden beast` number, since 1 + 184 + 0 + 7 + 74 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47174275 + ... + 47174525.

Almost surely, 2^11840774400 is an apocalyptic number.

11840774400 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 11840774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27049331232).

11840774400 is an abundant number, since it is smaller than the sum of its proper divisors (42257888064).

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

11840774400 is a wasteful number, since it uses less digits than its factorization.

11840774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 11840774400 in words is "eleven billion, eight hundred forty million, seven hundred seventy-four thousand, four hundred".