1402564652041 has 36 divisors (see below), whose sum is σ = 1643152902300. Its totient is φ = 1193705103360.

The previous prime is 1402564651981. The next prime is 1402564652087.

1402564652041 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 509076542016 + 893488110025 = 713496^2 + 945245^2 .

It is not a de Polignac number, because 1402564652041 - 2³³ = 1393974717449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1402564651985 and 1402564652003.

It is not an unprimeable number, because it can be changed into a prime (1402564652141) 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 35 ways as a sum of consecutive naturals, for example, 1592013921 + ... + 1592014801.

It is an arithmetic number, because the mean of its divisors is an integer number (45643136175).

Almost surely, 2^{1402564652041} is an apocalyptic number.

It is an amenable number.

1402564652041 is a deficient number, since it is larger than the sum of its proper divisors (240588250259).

1402564652041 is an frugal number, since it uses more digits than its factorization.

1402564652041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 1402564652041 in words is "one trillion, four hundred two billion, five hundred sixty-four million, six hundred fifty-two thousand, forty-one".