4017013728 has 432 divisors, whose sum is σ = 13794955776. Its totient is φ = 1018967040.

The previous prime is 4017013727. The next prime is 4017013729. The reversal of 4017013728 is 8273107104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4017013727) and next prime (4017013729).

It is a super-2 number, since 2×4017013728² = 32272798581880915968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4017013723) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 24644175 + ... + 24644337.

It is an arithmetic number, because the mean of its divisors is an integer number (31932768).

Almost surely, 2^4017013728 is an apocalyptic number.

4017013728 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 4017013728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897477888).

4017013728 is an abundant number, since it is smaller than the sum of its proper divisors (9777942048).

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

4017013728 is a wasteful number, since it uses less digits than its factorization.

4017013728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 4017013728 is about 63379.9158093477. The cubic root of 4017013728 is about 1589.6485026579.

The spelling of 4017013728 in words is "four billion, seventeen million, thirteen thousand, seven hundred twenty-eight".