1198098945440 has 192 divisors, whose sum is σ = 2922021236736. Its totient is φ = 464012869632.

The previous prime is 1198098945437. The next prime is 1198098945467. The reversal of 1198098945440 is 445498908911.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 315038579 + ... + 315042381.

It is an arithmetic number, because the mean of its divisors is an integer number (15218860608).

Almost surely, 2^{1198098945440} is an apocalyptic number.

1198098945440 is a gapful number since it is divisible by the number (10) 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 1198098945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461010618368).

1198098945440 is an abundant number, since it is smaller than the sum of its proper divisors (1723922291296).

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

1198098945440 is a wasteful number, since it uses less digits than its factorization.

1198098945440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 62.

The spelling of 1198098945440 in words is "one trillion, one hundred ninety-eight billion, ninety-eight million, nine hundred forty-five thousand, four hundred forty".