4182202368 has 240 divisors, whose sum is σ = 13235662440. Its totient is φ = 1311178752.

The previous prime is 4182202337. The next prime is 4182202369. The reversal of 4182202368 is 8632022814.

4182202368 is a `hidden beast` number, since 418 + 2 + 2 + 0 + 236 + 8 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4182202369) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2819355 + ... + 2820837.

Almost surely, 2^4182202368 is an apocalyptic number.

4182202368 is a gapful number since it is divisible by the number (48) 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 4182202368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617831220).

4182202368 is an abundant number, since it is smaller than the sum of its proper divisors (9053460072).

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

4182202368 is a wasteful number, since it uses less digits than its factorization.

4182202368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4182202368 is about 64669.9494974289. The cubic root of 4182202368 is about 1611.1464344696.

The spelling of 4182202368 in words is "four billion, one hundred eighty-two million, two hundred two thousand, three hundred sixty-eight".