420312002310 has 144 divisors (see below), whose sum is σ = 1165518677232. Its totient is φ = 105068160000.

The previous prime is 420312002281. The next prime is 420312002311. The reversal of 420312002310 is 13200213024.

420312002310 is a `hidden beast` number, since 42 + 0 + 312 + 0 + 0 + 2 + 310 = 666.

It is a super-2 number, since 2×420312002310² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420312002311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6496320 + ... + 6560700.

It is an arithmetic number, because the mean of its divisors is an integer number (8093879703).

Almost surely, 2^420312002310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420312002310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582759338616).

420312002310 is an abundant number, since it is smaller than the sum of its proper divisors (745206674922).

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

420312002310 is a wasteful number, since it uses less digits than its factorization.

420312002310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64679 (or 64659 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 420312002310 its reverse (13200213024), we get a palindrome (433512215334).

The spelling of 420312002310 in words is "four hundred twenty billion, three hundred twelve million, two thousand, three hundred ten".