4202214912 has 360 divisors, whose sum is σ = 14518039536. Its totient is φ = 1165860864.

The previous prime is 4202214911. The next prime is 4202214937. The reversal of 4202214912 is 2194122024.

4202214912 is a `hidden beast` number, since 420 + 221 + 4 + 9 + 12 = 666.

It is a super-2 number, since 2×4202214912² = 35317220333270335488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202214911) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8354053 + ... + 8354555.

Almost surely, 2^4202214912 is an apocalyptic number.

4202214912 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 4202214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259019768).

4202214912 is an abundant number, since it is smaller than the sum of its proper divisors (10315824624).

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

4202214912 is a wasteful number, since it uses less digits than its factorization.

4202214912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4202214912 is about 64824.4931488091. The cubic root of 4202214912 is about 1613.7122154263.

Adding to 4202214912 its reverse (2194122024), we get a palindrome (6396336936).

The spelling of 4202214912 in words is "four billion, two hundred two million, two hundred fourteen thousand, nine hundred twelve".