4017226752 has 880 divisors, whose sum is σ = 16264119168. Its totient is φ = 955514880.

The previous prime is 4017226747. The next prime is 4017226757. The reversal of 4017226752 is 2576227104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4017226747) and next prime (4017226757).

It is a super-2 number, since 2×4017226752² = 32276221553968939008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4017226757) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 108573678 + ... + 108573714.

Almost surely, 2^4017226752 is an apocalyptic number.

4017226752 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 4017226752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132059584).

4017226752 is an abundant number, since it is smaller than the sum of its proper divisors (12246892416).

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

4017226752 is a wasteful number, since it uses less digits than its factorization.

4017226752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4017226752 is about 63381.5963194364. The cubic root of 4017226752 is about 1589.6766020803.

The spelling of 4017226752 in words is "four billion, seventeen million, two hundred twenty-six thousand, seven hundred fifty-two".