11673241760400 has 360 divisors, whose sum is σ = 41328883657152. Its totient is φ = 2814235776000.

The previous prime is 11673241760329. The next prime is 11673241760407. The reversal of 11673241760400 is 406714237611.

It is not an unprimeable number, because it can be changed into a prime (11673241760407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26059117 + ... + 26503283.

Almost surely, 2^{11673241760400} is an apocalyptic number.

11673241760400 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 11673241760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20664441828576).

11673241760400 is an abundant number, since it is smaller than the sum of its proper divisors (29655641896752).

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

11673241760400 is a wasteful number, since it uses less digits than its factorization.

11673241760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444391 (or 444369 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 11673241760400 in words is "eleven trillion, six hundred seventy-three billion, two hundred forty-one million, seven hundred sixty thousand, four hundred".