1040110000 has 100 divisors (see below), whose sum is σ = 2572951392. Its totient is φ = 407008000.

The previous prime is 1040109977. The next prime is 1040110007. The reversal of 1040110000 is 110401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040110007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 468894 + ... + 471106.

Almost surely, 2^1040110000 is an apocalyptic number.

1040110000 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 1040110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286475696).

1040110000 is an abundant number, since it is smaller than the sum of its proper divisors (1532841392).

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

1040110000 is an equidigital number, since it uses as much as digits as its factorization.

1040110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1040110000 is about 32250.7364257004. The cubic root of 1040110000 is about 1013.1951229245.

Adding to 1040110000 its reverse (110401), we get a palindrome (1040220401).

The spelling of 1040110000 in words is "one billion, forty million, one hundred ten thousand".