1105116452440 has 256 divisors, whose sum is σ = 3341837399040. Its totient is φ = 317640960000.

The previous prime is 1105116452417. The next prime is 1105116452467. The reversal of 1105116452440 is 442546115011.

It is a junction number, because it is equal to n+sod(n) for n = 1105116452396 and 1105116452405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42068910 + ... + 42095170.

It is an arithmetic number, because the mean of its divisors is an integer number (13054052340).

Almost surely, 2^{1105116452440} is an apocalyptic number.

1105116452440 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 1105116452440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670918699520).

1105116452440 is an abundant number, since it is smaller than the sum of its proper divisors (2236720946600).

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

1105116452440 is a wasteful number, since it uses less digits than its factorization.

1105116452440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27354 (or 27350 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 1105116452440 in words is "one trillion, one hundred five billion, one hundred sixteen million, four hundred fifty-two thousand, four hundred forty".