1103435223440 has 240 divisors, whose sum is σ = 2975955240960. Its totient is φ = 377274531840.

The previous prime is 1103435223421. The next prime is 1103435223557. The reversal of 1103435223440 is 443225343011.

It is a junction number, because it is equal to n+sod(n) for n = 1103435223397 and 1103435223406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422932856 + ... + 422935464.

It is an arithmetic number, because the mean of its divisors is an integer number (12399813504).

Almost surely, 2^{1103435223440} is an apocalyptic number.

1103435223440 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 1103435223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487977620480).

1103435223440 is an abundant number, since it is smaller than the sum of its proper divisors (1872520017520).

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

1103435223440 is a wasteful number, since it uses less digits than its factorization.

1103435223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 1103435223440 in words is "one trillion, one hundred three billion, four hundred thirty-five million, two hundred twenty-three thousand, four hundred forty".