420020010401 has 8 divisors (see below), whose sum is σ = 438443575464. Its totient is φ = 401968638720.

The previous prime is 420020010349. The next prime is 420020010407. The reversal of 420020010401 is 104010020024.

It can be written as a sum of positive squares in 4 ways, for example, as 925619776 + 419094390625 = 30424^2 + 647375^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 420020010401 - 2³⁰ = 418946268577 is a prime.

It is a super-2 number, since 2×420020010401² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420020010407) 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 7 ways as a sum of consecutive naturals, for example, 93046040 + ... + 93050553.

It is an arithmetic number, because the mean of its divisors is an integer number (54805446933).

Almost surely, 2^420020010401 is an apocalyptic number.

It is an amenable number.

420020010401 is a deficient number, since it is larger than the sum of its proper divisors (18423565063).

420020010401 is a wasteful number, since it uses less digits than its factorization.

420020010401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186096691.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 420020010401 its reverse (104010020024), we get a palindrome (524030030425).

The spelling of 420020010401 in words is "four hundred twenty billion, twenty million, ten thousand, four hundred one".