1075616441088 has 288 divisors, whose sum is σ = 3364154519040. Its totient is φ = 298651484160.

The previous prime is 1075616441087. The next prime is 1075616441089. The reversal of 1075616441088 is 8801446165701.

It is an interprime number because it is at equal distance from previous prime (1075616441087) and next prime (1075616441089).

It is a super-3 number, since 3×1075616441088³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1075616441088.

It is not an unprimeable number, because it can be changed into a prime (1075616441087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193140768 + ... + 193146336.

It is an arithmetic number, because the mean of its divisors is an integer number (11681092080).

Almost surely, 2^{1075616441088} 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 1075616441088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682077259520).

1075616441088 is an abundant number, since it is smaller than the sum of its proper divisors (2288538077952).

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

1075616441088 is an equidigital number, since it uses as much as digits as its factorization.

1075616441088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 1075616441088 in words is "one trillion, seventy-five billion, six hundred sixteen million, four hundred forty-one thousand, eighty-eight".