1000100044040 has 32 divisors (see below), whose sum is σ = 2311041997080. Its totient is φ = 389228124672.

The previous prime is 1000100043997. The next prime is 1000100044051. The reversal of 1000100044040 is 404400010001.

1000100044040 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 4 ways, for example, as 948640936324 + 51459107716 = 973982^2 + 226846^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337870157 + ... + 337873116.

Almost surely, 2^{1000100044040} is an apocalyptic number.

1000100044040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000100044040 is an abundant number, since it is smaller than the sum of its proper divisors (1310941953040).

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

1000100044040 is a wasteful number, since it uses less digits than its factorization.

1000100044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675743321 (or 675743317 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1000100044040 its reverse (404400010001), we get a palindrome (1404500054041).

The spelling of 1000100044040 in words is "one trillion, one hundred million, forty-four thousand, forty".