1140114435440 has 40 divisors (see below), whose sum is σ = 2652477626400. Its totient is φ = 455751311616.

The previous prime is 1140114435419. The next prime is 1140114435443. The reversal of 1140114435440 is 445344110411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1140114435397 and 1140114435406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140114435443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4476284 + ... + 4724123.

It is an arithmetic number, because the mean of its divisors is an integer number (66311940660).

Almost surely, 2^{1140114435440} is an apocalyptic number.

1140114435440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140114435440 is an abundant number, since it is smaller than the sum of its proper divisors (1512363190960).

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

1140114435440 is a wasteful number, since it uses less digits than its factorization.

1140114435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9201969 (or 9201963 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 1140114435440 its reverse (445344110411), we get a palindrome (1585458545851).

The spelling of 1140114435440 in words is "one trillion, one hundred forty billion, one hundred fourteen million, four hundred thirty-five thousand, four hundred forty".