1100449707840 has 336 divisors, whose sum is σ = 4349729354880. Its totient is φ = 250140856320.

The previous prime is 1100449707829. The next prime is 1100449707871. The reversal of 1100449707840 is 487079440011.

It is a happy number.

1100449707840 is a `hidden beast` number, since 110 + 0 + 4 + 497 + 0 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3498171 + ... + 3799749.

It is an arithmetic number, because the mean of its divisors is an integer number (12945623080).

Almost surely, 2^{1100449707840} is an apocalyptic number.

1100449707840 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 1100449707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174864677440).

1100449707840 is an abundant number, since it is smaller than the sum of its proper divisors (3249279647040).

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

1100449707840 is a wasteful number, since it uses less digits than its factorization.

1100449707840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301790 (or 301777 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1100449707840 in words is "one trillion, one hundred billion, four hundred forty-nine million, seven hundred seven thousand, eight hundred forty".