1079441054208 has 960 divisors, whose sum is σ = 3684434181120. Its totient is φ = 315319910400.

The previous prime is 1079441054123. The next prime is 1079441054221. The reversal of 1079441054208 is 8024501449701.

1079441054208 is a `hidden beast` number, since 1 + 0 + 7 + 94 + 4 + 10 + 542 + 0 + 8 = 666.

1079441054208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4200159616 + ... + 4200159872.

It is an arithmetic number, because the mean of its divisors is an integer number (3837952272).

Almost surely, 2^{1079441054208} is an apocalyptic number.

1079441054208 is a gapful number since it is divisible by the number (18) 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 1079441054208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842217090560).

1079441054208 is an abundant number, since it is smaller than the sum of its proper divisors (2604993126912).

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

1079441054208 is an frugal number, since it uses more digits than its factorization.

1079441054208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1079441054208 in words is "one trillion, seventy-nine billion, four hundred forty-one million, fifty-four thousand, two hundred eight".