1090809434880 has 576 divisors, whose sum is σ = 4235436172800. Its totient is φ = 263644692480.

The previous prime is 1090809434873. The next prime is 1090809434893. The reversal of 1090809434880 is 884349080901.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1090809434880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 131911386 + ... + 131919654.

It is an arithmetic number, because the mean of its divisors is an integer number (7353187800).

Almost surely, 2^{1090809434880} is an apocalyptic number.

1090809434880 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 1090809434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117718086400).

1090809434880 is an abundant number, since it is smaller than the sum of its proper divisors (3144626737920).

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

1090809434880 is a wasteful number, since it uses less digits than its factorization.

1090809434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8657 (or 8637 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1090809434880 in words is "one trillion, ninety billion, eight hundred nine million, four hundred thirty-four thousand, eight hundred eighty".