9196128614400 has 1152 divisors, whose sum is σ = 37642925698560. Its totient is φ = 1928559329280.

The previous prime is 9196128614399. The next prime is 9196128614423. The reversal of 9196128614400 is 44168216919.

It is a super-3 number, since 3×9196128614400³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2418122899 + ... + 2418126701.

It is an arithmetic number, because the mean of its divisors is an integer number (32676150780).

Almost surely, 2^{9196128614400} 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 9196128614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18821462849280).

9196128614400 is an abundant number, since it is smaller than the sum of its proper divisors (28446797084160).

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

9196128614400 is a wasteful number, since it uses less digits than its factorization.

9196128614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 9196128614400 in words is "nine trillion, one hundred ninety-six billion, one hundred twenty-eight million, six hundred fourteen thousand, four hundred".