1166404320004 has 81 divisors (see below), whose sum is σ = 2610322374261. Its totient is φ = 454378441440.

The previous prime is 1166404319981. The next prime is 1166404320041. The reversal of 1166404320004 is 4000234046611.

The square root of 1166404320004 is 1080002.

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

It can be written as a sum of positive squares in only one way, i.e., 982061180100 + 184343139904 = 990990^2 + 429352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166316802 + ... + 166323814.

Almost surely, 2^{1166404320004} is an apocalyptic number.

1166404320004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1166404320004 is the 1080002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166404320004

1166404320004 is an abundant number, since it is smaller than the sum of its proper divisors (1443918054257).

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

1166404320004 is an frugal number, since it uses more digits than its factorization.

1166404320004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14066 (or 7033 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 1166404320004 its reverse (4000234046611), we get a palindrome (5166638366615).

The spelling of 1166404320004 in words is "one trillion, one hundred sixty-six billion, four hundred four million, three hundred twenty thousand, four".