9198216353040 has 640 divisors, whose sum is σ = 35612040683520. Its totient is φ = 1930687488000.

The previous prime is 9198216353023. The next prime is 9198216353189. The reversal of 9198216353040 is 403536128919.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65790249 + ... + 65929911.

It is an arithmetic number, because the mean of its divisors is an integer number (55643813568).

Almost surely, 2^{9198216353040} 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 9198216353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17806020341760).

9198216353040 is an abundant number, since it is smaller than the sum of its proper divisors (26413824330480).

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

9198216353040 is a wasteful number, since it uses less digits than its factorization.

9198216353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139823 (or 139817 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 9198216353040 in words is "nine trillion, one hundred ninety-eight billion, two hundred sixteen million, three hundred fifty-three thousand, forty".