1084079933328 has 320 divisors, whose sum is σ = 3322887321600. Its totient is φ = 304376421888.

The previous prime is 1084079933327. The next prime is 1084079933333. The reversal of 1084079933328 is 8233399704801.

It is not an unprimeable number, because it can be changed into a prime (1084079933327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269200851 + ... + 269204877.

It is an arithmetic number, because the mean of its divisors is an integer number (10384022880).

Almost surely, 2^{1084079933328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1084079933328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661443660800).

1084079933328 is an abundant number, since it is smaller than the sum of its proper divisors (2238807388272).

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

1084079933328 is a wasteful number, since it uses less digits than its factorization.

1084079933328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 1084079933328 in words is "one trillion, eighty-four billion, seventy-nine million, nine hundred thirty-three thousand, three hundred twenty-eight".