402211430401 has 32 divisors (see below), whose sum is σ = 468703872000. Its totient is φ = 341536608000.

The previous prime is 402211430347. The next prime is 402211430429. The reversal of 402211430401 is 104034112204.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 402211430401 - 2²⁵ = 402177875969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (402211430701) 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 31 ways as a sum of consecutive naturals, for example, 44980591 + ... + 44989531.

It is an arithmetic number, because the mean of its divisors is an integer number (14646996000).

Almost surely, 2^402211430401 is an apocalyptic number.

It is an amenable number.

402211430401 is a deficient number, since it is larger than the sum of its proper divisors (66492441599).

402211430401 is a wasteful number, since it uses less digits than its factorization.

402211430401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13561.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 402211430401 its reverse (104034112204), we get a palindrome (506245542605).

The spelling of 402211430401 in words is "four hundred two billion, two hundred eleven million, four hundred thirty thousand, four hundred one".