4212400420 has 72 divisors (see below), whose sum is σ = 9651468456. Its totient is φ = 1542905856.

The previous prime is 4212400417. The next prime is 4212400441. The reversal of 4212400420 is 240042124.

It can be written as a sum of positive squares in 12 ways, for example, as 88962624 + 4123437796 = 9432^2 + 64214^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204012 + ... + 223708.

It is an arithmetic number, because the mean of its divisors is an integer number (134048173).

Almost surely, 2^4212400420 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 4212400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825734228).

4212400420 is an abundant number, since it is smaller than the sum of its proper divisors (5439068036).

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

4212400420 is a wasteful number, since it uses less digits than its factorization.

4212400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19777 (or 19758 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 4212400420 is about 64903.0077885455. The cubic root of 4212400420 is about 1615.0149583102.

Adding to 4212400420 its reverse (240042124), we get a palindrome (4452442544).

The spelling of 4212400420 in words is "four billion, two hundred twelve million, four hundred thousand, four hundred twenty".