1140015116448 has 144 divisors (see below), whose sum is σ = 3506679068256. Its totient is φ = 349228362240.

The previous prime is 1140015116447. The next prime is 1140015116453. The reversal of 1140015116448 is 8446115100411.

1140015116448 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 1 + 5 + 1 + 1 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1140015116447) 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, 179203 + ... + 1520573.

It is an arithmetic number, because the mean of its divisors is an integer number (24351937974).

Almost surely, 2^{1140015116448} is an apocalyptic number.

1140015116448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140015116448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753339534128).

1140015116448 is an abundant number, since it is smaller than the sum of its proper divisors (2366663951808).

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

1140015116448 is a wasteful number, since it uses less digits than its factorization.

1140015116448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341627 (or 1341616 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 1140015116448 in words is "one trillion, one hundred forty billion, fifteen million, one hundred sixteen thousand, four hundred forty-eight".