420310114224 has 240 divisors, whose sum is σ = 1465871249664. Its totient is φ = 100773504000.

The previous prime is 420310114223. The next prime is 420310114253. The reversal of 420310114224 is 422411013024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 420310114194 and 420310114203.

It is not an unprimeable number, because it can be changed into a prime (420310114223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288174 + ... + 961074.

Almost surely, 2^420310114224 is an apocalyptic number.

420310114224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420310114224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732935624832).

420310114224 is an abundant number, since it is smaller than the sum of its proper divisors (1045561135440).

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

420310114224 is a wasteful number, since it uses less digits than its factorization.

420310114224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672956 (or 672937 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 420310114224 its reverse (422411013024), we get a palindrome (842721127248).

The spelling of 420310114224 in words is "four hundred twenty billion, three hundred ten million, one hundred fourteen thousand, two hundred twenty-four".