1002145403441 has 12 divisors (see below), whose sum is σ = 1255434901812. Its totient is φ = 792906252768.

The previous prime is 1002145403437. The next prime is 1002145403471. The reversal of 1002145403441 is 1443045412001.

It can be written as a sum of positive squares in 2 ways, for example, as 48975903025 + 953169500416 = 221305^2 + 976304^2 .

It is not a de Polignac number, because 1002145403441 - 2² = 1002145403437 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1002145403471) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 786612710 + ... + 786613983.

It is an arithmetic number, because the mean of its divisors is an integer number (104619575151).

Almost surely, 2^{1002145403441} is an apocalyptic number.

It is an amenable number.

1002145403441 is a deficient number, since it is larger than the sum of its proper divisors (253289498371).

1002145403441 is a wasteful number, since it uses less digits than its factorization.

1002145403441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573226720 (or 1573226713 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 1002145403441 in words is "one trillion, two billion, one hundred forty-five million, four hundred three thousand, four hundred forty-one".