420201023420 has 72 divisors (see below), whose sum is σ = 937603404864. Its totient is φ = 158156084224.

The previous prime is 420201023393. The next prime is 420201023423. The reversal of 420201023420 is 24320102024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 420201023392 and 420201023401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420201023423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45212294 + ... + 45221586.

It is an arithmetic number, because the mean of its divisors is an integer number (13022269512).

Almost surely, 2^420201023420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420201023420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468801702432).

420201023420 is an abundant number, since it is smaller than the sum of its proper divisors (517402381444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420201023420 is a wasteful number, since it uses less digits than its factorization.

420201023420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17159 (or 17140 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 420201023420 its reverse (24320102024), we get a palindrome (444521125444).

The spelling of 420201023420 in words is "four hundred twenty billion, two hundred one million, twenty-three thousand, four hundred twenty".