1105004014400 has 672 divisors, whose sum is σ = 3390682982400. Its totient is φ = 348672614400.

The previous prime is 1105004014379. The next prime is 1105004014447. The reversal of 1105004014400 is 44104005011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 310479821 + ... + 310483379.

It is an arithmetic number, because the mean of its divisors is an integer number (5045659200).

Almost surely, 2^{1105004014400} is an apocalyptic number.

1105004014400 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 1105004014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695341491200).

1105004014400 is an abundant number, since it is smaller than the sum of its proper divisors (2285678968000).

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

1105004014400 is a wasteful number, since it uses less digits than its factorization.

1105004014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 1105004014400 its reverse (44104005011), we get a palindrome (1149108019411).

The spelling of 1105004014400 in words is "one trillion, one hundred five billion, four million, fourteen thousand, four hundred".