1088406305280 has 800 divisors, whose sum is σ = 4472967033216. Its totient is φ = 247788896256.

The previous prime is 1088406305269. The next prime is 1088406305309. The reversal of 1088406305280 is 825036048801.

1088406305280 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 4 + 0 + 630 + 5 + 2 + 8 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 402069687 + ... + 402072393.

Almost surely, 2^{1088406305280} is an apocalyptic number.

1088406305280 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 1088406305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236483516608).

1088406305280 is an abundant number, since it is smaller than the sum of its proper divisors (3384560727936).

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

1088406305280 is an equidigital number, since it uses as much as digits as its factorization.

1088406305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1088406305280 in words is "one trillion, eighty-eight billion, four hundred six million, three hundred five thousand, two hundred eighty".