1090213381824 has 224 divisors, whose sum is σ = 3404824727040. Its totient is φ = 301424467968.

The previous prime is 1090213381709. The next prime is 1090213381913. The reversal of 1090213381824 is 4281833120901.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5095107 + ... + 5304765.

Almost surely, 2^{1090213381824} is an apocalyptic number.

1090213381824 is a gapful number since it is divisible by the number (14) 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 1090213381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702412363520).

1090213381824 is an abundant number, since it is smaller than the sum of its proper divisors (2314611345216).

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

1090213381824 is a wasteful number, since it uses less digits than its factorization.

1090213381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209807 (or 209797 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 1090213381824 in words is "one trillion, ninety billion, two hundred thirteen million, three hundred eighty-one thousand, eight hundred twenty-four".