11742841933200 has 1920 divisors, whose sum is σ = 49673754803200. Its totient is φ = 2612138803200.

The previous prime is 11742841933189. The next prime is 11742841933223. The reversal of 11742841933200 is 233914824711.

11742841933200 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 28 + 419 + 3 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 48725485080 + ... + 48725485320.

Almost surely, 2^{11742841933200} is an apocalyptic number.

11742841933200 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 11742841933200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24836877401600).

11742841933200 is an abundant number, since it is smaller than the sum of its proper divisors (37930912870000).

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

11742841933200 is a wasteful number, since it uses less digits than its factorization.

11742841933200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11742841933200 in words is "eleven trillion, seven hundred forty-two billion, eight hundred forty-one million, nine hundred thirty-three thousand, two hundred".