1103828394240 has 2592 divisors, whose sum is σ = 4940790027264. Its totient is φ = 233424322560.

The previous prime is 1103828394209. The next prime is 1103828394241. The reversal of 1103828394240 is 424938283011.

1103828394240 is a `hidden beast` number, since 1 + 10 + 3 + 8 + 2 + 8 + 394 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 (1103828394241) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13299137239 + ... + 13299137321.

It is an arithmetic number, because the mean of its divisors is an integer number (1906168992).

Almost surely, 2^{1103828394240} is an apocalyptic number.

1103828394240 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 1103828394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470395013632).

1103828394240 is an abundant number, since it is smaller than the sum of its proper divisors (3836961633024).

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

1103828394240 is a wasteful number, since it uses less digits than its factorization.

1103828394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 140 counting only the distinct ones).

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

The spelling of 1103828394240 in words is "one trillion, one hundred three billion, eight hundred twenty-eight million, three hundred ninety-four thousand, two hundred forty".