4212418392 has 256 divisors, whose sum is σ = 14755507200. Its totient is φ = 1083663360.

The previous prime is 4212418391. The next prime is 4212418409. The reversal of 4212418392 is 2938142124.

4212418392 is a `hidden beast` number, since 4 + 21 + 241 + 8 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212418391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 803283 + ... + 808509.

It is an arithmetic number, because the mean of its divisors is an integer number (57638700).

Almost surely, 2^4212418392 is an apocalyptic number.

4212418392 is a gapful number since it is divisible by the number (42) 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 4212418392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377753600).

4212418392 is an abundant number, since it is smaller than the sum of its proper divisors (10543088808).

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

4212418392 is a wasteful number, since it uses less digits than its factorization.

4212418392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5293 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4212418392 is about 64903.1462411492. The cubic root of 4212418392 is about 1615.0172551010.

It can be divided in two parts, 42124 and 18392, that added together give a square (60516 = 246²).

The spelling of 4212418392 in words is "four billion, two hundred twelve million, four hundred eighteen thousand, three hundred ninety-two".