1104138241440 has 384 divisors, whose sum is σ = 4001044626432. Its totient is φ = 253533880320.

The previous prime is 1104138241429. The next prime is 1104138241447. The reversal of 1104138241440 is 441428314011.

It is not an unprimeable number, because it can be changed into a prime (1104138241447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11940985 + ... + 12033095.

It is an arithmetic number, because the mean of its divisors is an integer number (10419387048).

Almost surely, 2^{1104138241440} is an apocalyptic number.

1104138241440 is a gapful number since it is divisible by the number (10) 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 1104138241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000522313216).

1104138241440 is an abundant number, since it is smaller than the sum of its proper divisors (2896906384992).

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

1104138241440 is a wasteful number, since it uses less digits than its factorization.

1104138241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92272 (or 92264 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 1104138241440 in words is "one trillion, one hundred four billion, one hundred thirty-eight million, two hundred forty-one thousand, four hundred forty".