9996416843140 has 192 divisors, whose sum is σ = 25959713794560. Its totient is φ = 3148674600960.

The previous prime is 9996416843131. The next prime is 9996416843159. The reversal of 9996416843140 is 413486146999.

9996416843140 = T₁ + T₂ + ... + T₃₉₁₄₃.

9996416843140 is a nontrivial binomial coefficient, being equal to C(39145, 3).

It is an unprimeable number.

It is the 39143-rd tetrahedral number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1276840746 + ... + 1276848574.

It is an arithmetic number, because the mean of its divisors is an integer number (135206842680).

Almost surely, 2^{9996416843140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9996416843140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12979856897280).

9996416843140 is an abundant number, since it is smaller than the sum of its proper divisors (15963296951420).

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

9996416843140 is a wasteful number, since it uses less digits than its factorization.

9996416843140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11102 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 64.

The spelling of 9996416843140 in words is "nine trillion, nine hundred ninety-six billion, four hundred sixteen million, eight hundred forty-three thousand, one hundred forty".