10110001040 has 20 divisors (see below), whose sum is σ = 23505752604. Its totient is φ = 4044000384.

The previous prime is 10110001019. The next prime is 10110001073. The reversal of 10110001040 is 4010001101.

10110001040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7877627536 + 2232373504 = 88756^2 + 47248^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (8).

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 3 ways as a sum of consecutive naturals, for example, 63187427 + ... + 63187586.

Almost surely, 2^10110001040 is an apocalyptic number.

10110001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110001040 is an abundant number, since it is smaller than the sum of its proper divisors (13395751564).

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

10110001040 is a wasteful number, since it uses less digits than its factorization.

10110001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126375026 (or 126375020 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10110001040 its reverse (4010001101), we get a palindrome (14120002141).

The spelling of 10110001040 in words is "ten billion, one hundred ten million, one thousand, forty".