4016226240 has 672 divisors, whose sum is σ = 16076249280. Its totient is φ = 947552256.

The previous prime is 4016226239. The next prime is 4016226271. The reversal of 4016226240 is 426226104.

4016226240 is a `hidden beast` number, since 4 + 0 + 16 + 22 + 624 + 0 = 666.

It is a super-2 number, since 2×4016226240² = 32260146421729075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29315452 + ... + 29315588.

It is an arithmetic number, because the mean of its divisors is an integer number (23922990).

Almost surely, 2^4016226240 is an apocalyptic number.

4016226240 is a gapful number since it is divisible by the number (40) 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 4016226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038124640).

4016226240 is an abundant number, since it is smaller than the sum of its proper divisors (12060023040).

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

4016226240 is a wasteful number, since it uses less digits than its factorization.

4016226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4016226240 is about 63373.7030636525. The cubic root of 4016226240 is about 1589.5446186107.

The spelling of 4016226240 in words is "four billion, sixteen million, two hundred twenty-six thousand, two hundred forty".