402114413221 has 32 divisors (see below), whose sum is σ = 447919411680. Its totient is φ = 359220019200.

The previous prime is 402114413167. The next prime is 402114413227. The reversal of 402114413221 is 122314411204.

It can be written as a sum of positive squares in 16 ways, for example, as 20004990721 + 382109422500 = 141439^2 + 618150^2 .

It is a cyclic number.

It is not a de Polignac number, because 402114413221 - 2¹⁵ = 402114380453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402114413227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91449795 + ... + 91454191.

It is an arithmetic number, because the mean of its divisors is an integer number (13997481615).

Almost surely, 2^402114413221 is an apocalyptic number.

It is an amenable number.

402114413221 is a deficient number, since it is larger than the sum of its proper divisors (45804998459).

402114413221 is a wasteful number, since it uses less digits than its factorization.

402114413221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7545.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 402114413221 its reverse (122314411204), we get a palindrome (524428824425).

The spelling of 402114413221 in words is "four hundred two billion, one hundred fourteen million, four hundred thirteen thousand, two hundred twenty-one".