1140413201024 has 128 divisors (see below), whose sum is σ = 2456740730880. Its totient is φ = 525294714880.

The previous prime is 1140413201009. The next prime is 1140413201027. The reversal of 1140413201024 is 4201023140411.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1140413201027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49694897 + ... + 49717839.

It is an arithmetic number, because the mean of its divisors is an integer number (19193286960).

Almost surely, 2^{1140413201024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140413201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228370365440).

1140413201024 is an abundant number, since it is smaller than the sum of its proper divisors (1316327529856).

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

1140413201024 is a wasteful number, since it uses less digits than its factorization.

1140413201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23458 (or 23446 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1140413201024 its reverse (4201023140411), we get a palindrome (5341436341435).

The spelling of 1140413201024 in words is "one trillion, one hundred forty billion, four hundred thirteen million, two hundred one thousand, twenty-four".