9944950118400 has 1296 divisors, whose sum is σ = 39413004125040. Its totient is φ = 2394636288000.

The previous prime is 9944950118393. The next prime is 9944950118401. The reversal of 9944950118400 is 48110594499.

9944950118400 is a `hidden beast` number, since 9 + 94 + 4 + 9 + 501 + 1 + 8 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9944950118401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9645925885 + ... + 9645926915.

It is an arithmetic number, because the mean of its divisors is an integer number (30411268615).

Almost surely, 2^{9944950118400} is an apocalyptic number.

9944950118400 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 9944950118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19706502062520).

9944950118400 is an abundant number, since it is smaller than the sum of its proper divisors (29468054006640).

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

9944950118400 is a wasteful number, since it uses less digits than its factorization.

9944950118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 9944950118400 in words is "nine trillion, nine hundred forty-four billion, nine hundred fifty million, one hundred eighteen thousand, four hundred".