1104144400440 has 192 divisors, whose sum is σ = 3749717836800. Its totient is φ = 281243609856.

The previous prime is 1104144400361. The next prime is 1104144400441. The reversal of 1104144400440 is 440044414011.

1104144400440 is a `hidden beast` number, since 110 + 4 + 144 + 400 + 4 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104144400441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5860587 + ... + 6046053.

It is an arithmetic number, because the mean of its divisors is an integer number (19529780400).

Almost surely, 2^{1104144400440} is an apocalyptic number.

1104144400440 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 1104144400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874858918400).

1104144400440 is an abundant number, since it is smaller than the sum of its proper divisors (2645573436360).

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

1104144400440 is a wasteful number, since it uses less digits than its factorization.

1104144400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186226 (or 186219 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1104144400440 its reverse (440044414011), we get a palindrome (1544188814451).

The spelling of 1104144400440 in words is "one trillion, one hundred four billion, one hundred forty-four million, four hundred thousand, four hundred forty".