1140220331721 has 9 divisors (see below), whose sum is σ = 1646989550791. Its totient is φ = 760144752192.

The previous prime is 1140220331687. The next prime is 1140220331741. The reversal of 1140220331721 is 1271330220411.

The square root of 1140220331721 is 1067811.

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

1140220331721 is a `hidden beast` number, since 1 + 1 + 40 + 220 + 331 + 72 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7834905225 + 1132385426496 = 88515^2 + 1064136^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1140220331721 - 2¹⁷ = 1140220200649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1140220331741) 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, 3025465 + ... + 3381401.

Almost surely, 2^{1140220331721} is an apocalyptic number.

1140220331721 is the 1067811-st square number.

1140220331721 is the 533906-th centered octagonal number.

It is an amenable number.

1140220331721 is a deficient number, since it is larger than the sum of its proper divisors (506769219070).

1140220331721 is an frugal number, since it uses more digits than its factorization.

1140220331721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711880 (or 355940 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 1140220331721 in words is "one trillion, one hundred forty billion, two hundred twenty million, three hundred thirty-one thousand, seven hundred twenty-one".