1100068441000 has 192 divisors, whose sum is σ = 2779992895680. Its totient is φ = 407167689600.

The previous prime is 1100068440997. The next prime is 1100068441007. The reversal of 1100068441000 is 1448600011.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1100068441007) 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, 15487567 + ... + 15558433.

It is an arithmetic number, because the mean of its divisors is an integer number (14479129665).

Almost surely, 2^{1100068441000} is an apocalyptic number.

1100068441000 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 1100068441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389996447840).

1100068441000 is an abundant number, since it is smaller than the sum of its proper divisors (1679924454680).

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

1100068441000 is a wasteful number, since it uses less digits than its factorization.

1100068441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70969 (or 70936 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The spelling of 1100068441000 in words is "one trillion, one hundred billion, sixty-eight million, four hundred forty-one thousand".