1110044147040 has 288 divisors, whose sum is σ = 3990026083680. Its totient is φ = 280247205888.

The previous prime is 1110044147039. The next prime is 1110044147087. The reversal of 1110044147040 is 407414400111.

1110044147040 is a `hidden beast` number, since 1 + 110 + 0 + 4 + 41 + 470 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1110044147040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1110044146995 and 1110044147013.

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, 44119104 + ... + 44144256.

It is an arithmetic number, because the mean of its divisors is an integer number (13854257235).

Almost surely, 2^{1110044147040} is an apocalyptic number.

1110044147040 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 1110044147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995013041840).

1110044147040 is an abundant number, since it is smaller than the sum of its proper divisors (2879981936640).

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

1110044147040 is a wasteful number, since it uses less digits than its factorization.

1110044147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26806 (or 26795 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 1110044147040 its reverse (407414400111), we get a palindrome (1517458547151).

The spelling of 1110044147040 in words is "one trillion, one hundred ten billion, forty-four million, one hundred forty-seven thousand, forty".