420243114304 has 56 divisors (see below), whose sum is σ = 898268109480. Its totient is φ = 193915060224.

The previous prime is 420243114301. The next prime is 420243114307. The reversal of 420243114304 is 403411342024.

It is an interprime number because it is at equal distance from previous prime (420243114301) and next prime (420243114307).

It can be written as a sum of positive squares in 4 ways, for example, as 104794638400 + 315448475904 = 323720^2 + 561648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420243114301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3833892 + ... + 3941980.

It is an arithmetic number, because the mean of its divisors is an integer number (16040501955).

Almost surely, 2^420243114304 is an apocalyptic number.

It is an amenable number.

420243114304 is an abundant number, since it is smaller than the sum of its proper divisors (478024995176).

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

420243114304 is a wasteful number, since it uses less digits than its factorization.

420243114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112787 (or 112777 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 420243114304 its reverse (403411342024), we get a palindrome (823654456328).

It can be divided in two parts, 42024 and 3114304, that added together give a triangular number (3156328 = T₂₅₁₂).

The spelling of 420243114304 in words is "four hundred twenty billion, two hundred forty-three million, one hundred fourteen thousand, three hundred four".