11940473001600 has 2304 divisors, whose sum is σ = 54669548246400. Its totient is φ = 2514242764800.

The previous prime is 11940473001571. The next prime is 11940473001601. The reversal of 11940473001600 is 610037404911.

11940473001600 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 0 + 47 + 3 + 0 + 0 + 1 + 600 = 666.

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 (11940473001601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2730497014 + ... + 2730501386.

Almost surely, 2^{11940473001600} is an apocalyptic number.

11940473001600 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 11940473001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27334774123200).

11940473001600 is an abundant number, since it is smaller than the sum of its proper divisors (42729075244800).

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

11940473001600 is a wasteful number, since it uses less digits than its factorization.

11940473001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11940473001600 in words is "eleven trillion, nine hundred forty billion, four hundred seventy-three million, one thousand, six hundred".