420400214401 has 16 divisors (see below), whose sum is σ = 431325388800. Its totient is φ = 409587430720.

The previous prime is 420400214371. The next prime is 420400214441. The reversal of 420400214401 is 104412004024.

It is a cyclic number.

It is not a de Polignac number, because 420400214401 - 2¹³ = 420400206209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420400214441) 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 15 ways as a sum of consecutive naturals, for example, 54572316 + ... + 54580018.

It is an arithmetic number, because the mean of its divisors is an integer number (26957836800).

Almost surely, 2^420400214401 is an apocalyptic number.

It is an amenable number.

420400214401 is a deficient number, since it is larger than the sum of its proper divisors (10925174399).

420400214401 is a wasteful number, since it uses less digits than its factorization.

420400214401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14816.

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 420400214401 its reverse (104412004024), we get a palindrome (524812218425).

The spelling of 420400214401 in words is "four hundred twenty billion, four hundred million, two hundred fourteen thousand, four hundred one".