1104819344640 has 1728 divisors, whose sum is σ = 4661434552320. Its totient is φ = 238436352000.

The previous prime is 1104819344611. The next prime is 1104819344641. The reversal of 1104819344640 is 464439184011.

1104819344640 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 81 + 93 + 446 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104819344641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3931741300 + ... + 3931741580.

It is an arithmetic number, because the mean of its divisors is an integer number (2697589440).

Almost surely, 2^{1104819344640} is an apocalyptic number.

1104819344640 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 1104819344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330717276160).

1104819344640 is an abundant number, since it is smaller than the sum of its proper divisors (3556615207680).

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

1104819344640 is a wasteful number, since it uses less digits than its factorization.

1104819344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1104819344640 in words is "one trillion, one hundred four billion, eight hundred nineteen million, three hundred forty-four thousand, six hundred forty".