1140401866816 has 63 divisors (see below), whose sum is σ = 2344219025421. Its totient is φ = 550419227904.

The previous prime is 1140401866687. The next prime is 1140401866817. The reversal of 1140401866816 is 6186681040411.

The square root of 1140401866816 is 1067896.

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., 597999076416 + 542402790400 = 773304^2 + 736480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1140401866817) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 247749571 + ... + 247754173.

Almost surely, 2^{1140401866816} is an apocalyptic number.

1140401866816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1140401866816 is the 1067896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140401866816

1140401866816 is an abundant number, since it is smaller than the sum of its proper divisors (1203817158605).

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

1140401866816 is an frugal number, since it uses more digits than its factorization.

1140401866816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9276 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 1140401866816 in words is "one trillion, one hundred forty billion, four hundred one million, eight hundred sixty-six thousand, eight hundred sixteen".