1103328414720 has 1408 divisors, whose sum is σ = 4737039667200. Its totient is φ = 238085996544.

The previous prime is 1103328414719. The next prime is 1103328414731. The reversal of 1103328414720 is 274148233011.

1103328414720 is a `hidden beast` number, since 1 + 103 + 3 + 2 + 84 + 1 + 472 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1980840682 + ... + 1980841238.

Almost surely, 2^{1103328414720} is an apocalyptic number.

1103328414720 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 1103328414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368519833600).

1103328414720 is an abundant number, since it is smaller than the sum of its proper divisors (3633711252480).

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

1103328414720 is a wasteful number, since it uses less digits than its factorization.

1103328414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1103328414720 in words is "one trillion, one hundred three billion, three hundred twenty-eight million, four hundred fourteen thousand, seven hundred twenty".