1105300780416 has 576 divisors, whose sum is σ = 3797179214400. Its totient is φ = 307542251520.

The previous prime is 1105300780393. The next prime is 1105300780421. The reversal of 1105300780416 is 6140870035011.

1105300780416 is a `hidden beast` number, since 1 + 1 + 0 + 530 + 0 + 7 + 80 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1599566631 + ... + 1599567321.

It is an arithmetic number, because the mean of its divisors is an integer number (6592325025).

Almost surely, 2^{1105300780416} is an apocalyptic number.

1105300780416 is a gapful number since it is divisible by the number (16) 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 1105300780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898589607200).

1105300780416 is an abundant number, since it is smaller than the sum of its proper divisors (2691878433984).

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

1105300780416 is a wasteful number, since it uses less digits than its factorization.

1105300780416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1105300780416 in words is "one trillion, one hundred five billion, three hundred million, seven hundred eighty thousand, four hundred sixteen".