1140320322401 has 24 divisors (see below), whose sum is σ = 1268358947064. Its totient is φ = 1023991787520.

The previous prime is 1140320322389. The next prime is 1140320322403. The reversal of 1140320322401 is 1042230230411.

It can be written as a sum of positive squares in 12 ways, for example, as 117117266176 + 1023203056225 = 342224^2 + 1011535^2 .

It is not a de Polignac number, because 1140320322401 - 2¹⁴ = 1140320306017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1140320322403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57649025 + ... + 57668801.

It is an arithmetic number, because the mean of its divisors is an integer number (52848289461).

Almost surely, 2^{1140320322401} is an apocalyptic number.

It is an amenable number.

1140320322401 is a deficient number, since it is larger than the sum of its proper divisors (128038624663).

1140320322401 is a wasteful number, since it uses less digits than its factorization.

1140320322401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29061 (or 29048 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1140320322401 its reverse (1042230230411), we get a palindrome (2182550552812).

The spelling of 1140320322401 in words is "one trillion, one hundred forty billion, three hundred twenty million, three hundred twenty-two thousand, four hundred one".