4202268912 has 240 divisors, whose sum is σ = 13226653440. Its totient is φ = 1239017472.

The previous prime is 4202268907. The next prime is 4202268979. The reversal of 4202268912 is 2198622024.

4202268912 is a `hidden beast` number, since 420 + 226 + 8 + 9 + 1 + 2 = 666.

4202268912 is nontrivially palindromic in base 7.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2705128 + ... + 2706680.

It is an arithmetic number, because the mean of its divisors is an integer number (55111056).

Almost surely, 2^4202268912 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 4202268912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6613326720).

4202268912 is an abundant number, since it is smaller than the sum of its proper divisors (9024384528).

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

4202268912 is a wasteful number, since it uses less digits than its factorization.

4202268912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1643 counting only the distinct ones).

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

The square root of 4202268912 is about 64824.9096567053. The cubic root of 4202268912 is about 1613.7191276609.

The spelling of 4202268912 in words is "four billion, two hundred two million, two hundred sixty-eight thousand, nine hundred twelve".