1059841040384 has 112 divisors (see below), whose sum is σ = 2423805871200. Its totient is φ = 453943885824.

The previous prime is 1059841040327. The next prime is 1059841040389. The reversal of 1059841040384 is 4830401489501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1059841040384² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059841040389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116346422 + ... + 116355530.

It is an arithmetic number, because the mean of its divisors is an integer number (21641123850).

Almost surely, 2^{1059841040384} is an apocalyptic number.

1059841040384 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 1059841040384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211902935600).

1059841040384 is an abundant number, since it is smaller than the sum of its proper divisors (1363964830816).

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

1059841040384 is an frugal number, since it uses more digits than its factorization.

1059841040384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11171 (or 11147 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 1059841040384 in words is "one trillion, fifty-nine billion, eight hundred forty-one million, forty thousand, three hundred eighty-four".