1000034145441 has 10 divisors (see below), whose sum is σ = 1493878168002. Its totient is φ = 666689430240.

The previous prime is 1000034145433. The next prime is 1000034145443. The reversal of 1000034145441 is 1445414300001.

1000034145441 is a `hidden beast` number, since 100 + 0 + 0 + 3 + 4 + 14 + 544 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 983310224400 + 16723921041 = 991620^2 + 129321^2 .

It is not a de Polignac number, because 1000034145441 - 2³ = 1000034145433 is a prime.

It is a super-2 number, since 2×1000034145441² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1000034145443) 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 9 ways as a sum of consecutive naturals, for example, 6173050200 + ... + 6173050361.

Almost surely, 2^{1000034145441} is an apocalyptic number.

It is an amenable number.

1000034145441 is a deficient number, since it is larger than the sum of its proper divisors (493844022561).

1000034145441 is an equidigital number, since it uses as much as digits as its factorization.

1000034145441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12346100573 (or 12346100564 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1000034145441 its reverse (1445414300001), we get a palindrome (2445448445442).

The spelling of 1000034145441 in words is "one trillion, thirty-four million, one hundred forty-five thousand, four hundred forty-one".