1100041261000 has 128 divisors (see below), whose sum is σ = 2808759058560. Its totient is φ = 399921888000.

The previous prime is 1100041260979. The next prime is 1100041261069. The reversal of 1100041261000 is 1621400011.

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 31 ways as a sum of consecutive naturals, for example, 62504202 + ... + 62521798.

It is an arithmetic number, because the mean of its divisors is an integer number (21943430145).

Almost surely, 2^{1100041261000} is an apocalyptic number.

1100041261000 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 1100041261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404379529280).

1100041261000 is an abundant number, since it is smaller than the sum of its proper divisors (1708717797560).

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

1100041261000 is a wasteful number, since it uses less digits than its factorization.

1100041261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23312 (or 23298 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1100041261000 its reverse (1621400011), we get a palindrome (1101662661011).

The spelling of 1100041261000 in words is "one trillion, one hundred billion, forty-one million, two hundred sixty-one thousand".