1088329271040 has 1296 divisors, whose sum is σ = 4415115938688. Its totient is φ = 254555136000.

The previous prime is 1088329271033. The next prime is 1088329271087. The reversal of 1088329271040 is 401729238801.

It is a happy number.

1088329271040 is a `hidden beast` number, since 10 + 8 + 8 + 329 + 271 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3288003675 + ... + 3288004005.

Almost surely, 2^{1088329271040} is an apocalyptic number.

1088329271040 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 1088329271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207557969344).

1088329271040 is an abundant number, since it is smaller than the sum of its proper divisors (3326786667648).

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

1088329271040 is an equidigital number, since it uses as much as digits as its factorization.

1088329271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1088329271040 in words is "one trillion, eighty-eight billion, three hundred twenty-nine million, two hundred seventy-one thousand, forty".