1059104440384 has 63 divisors (see below), whose sum is σ = 2115622698007. Its totient is φ = 526057301504.

The previous prime is 1059104440367. The next prime is 1059104440403. The reversal of 1059104440384 is 4830444019501.

The square root of 1059104440384 is 1029128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 131966545984 + 927137894400 = 363272^2 + 962880^2 .

It is a super-2 number, since 2×1059104440384² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1059104440384.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1621905402 + ... + 1621906054.

Almost surely, 2^{1059104440384} is an apocalyptic number.

1059104440384 is the 1029128-th square number.

It is an amenable number.

1059104440384 is a deficient number, since it is larger than the sum of its proper divisors (1056518257623).

1059104440384 is an frugal number, since it uses more digits than its factorization.

1059104440384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

Adding to 1059104440384 its reverse (4830444019501), we get a palindrome (5889548459885).

The spelling of 1059104440384 in words is "one trillion, fifty-nine billion, one hundred four million, four hundred forty thousand, three hundred eighty-four".