1090821442320 has 320 divisors, whose sum is σ = 3800167488000. Its totient is φ = 287574589440.

The previous prime is 1090821442303. The next prime is 1090821442339. The reversal of 1090821442320 is 232441280901.

1090821442320 is a `hidden beast` number, since 10 + 9 + 0 + 8 + 214 + 423 + 2 + 0 = 666.

1090821442320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 142605856 + ... + 142613504.

It is an arithmetic number, because the mean of its divisors is an integer number (11875523400).

Almost surely, 2^{1090821442320} is an apocalyptic number.

1090821442320 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 1090821442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900083744000).

1090821442320 is an abundant number, since it is smaller than the sum of its proper divisors (2709346045680).

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

1090821442320 is a wasteful number, since it uses less digits than its factorization.

1090821442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8415 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1090821442320 in words is "one trillion, ninety billion, eight hundred twenty-one million, four hundred forty-two thousand, three hundred twenty".