9941916877200 has 1920 divisors, whose sum is σ = 45234961920000. Its totient is φ = 2055903897600.

The previous prime is 9941916877199. The next prime is 9941916877223. The reversal of 9941916877200 is 27786191499.

9941916877200 is a `hidden beast` number, since 9 + 9 + 419 + 1 + 6 + 8 + 7 + 7 + 200 = 666.

It is a super-2 number, since 2×9941916877200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 10961319147 + ... + 10961320053.

It is an arithmetic number, because the mean of its divisors is an integer number (23559876000).

Almost surely, 2^{9941916877200} is an apocalyptic number.

9941916877200 is a gapful number since it is divisible by the number (90) 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 9941916877200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22617480960000).

9941916877200 is an abundant number, since it is smaller than the sum of its proper divisors (35293045042800).

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

9941916877200 is a wasteful number, since it uses less digits than its factorization.

9941916877200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 9941916877200 in words is "nine trillion, nine hundred forty-one billion, nine hundred sixteen million, eight hundred seventy-seven thousand, two hundred".