1088609303040 has 640 divisors, whose sum is σ = 4057948274688. Its totient is φ = 243833241600.

The previous prime is 1088609303039. The next prime is 1088609303071. The reversal of 1088609303040 is 403039068801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1088609302983 and 1088609303001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 557974065 + ... + 557976015.

Almost surely, 2^{1088609303040} is an apocalyptic number.

1088609303040 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 1088609303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028974137344).

1088609303040 is an abundant number, since it is smaller than the sum of its proper divisors (2969338971648).

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

1088609303040 is a wasteful number, since it uses less digits than its factorization.

1088609303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 1088609303040 in words is "one trillion, eighty-eight billion, six hundred nine million, three hundred three thousand, forty".