4017126960 has 800 divisors, whose sum is σ = 17785861632. Its totient is φ = 816168960.

The previous prime is 4017126947. The next prime is 4017127007. The reversal of 4017126960 is 696217104.

It is a super-2 number, since 2×4017126960² = 32274618025517683200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41413632 + ... + 41413728.

Almost surely, 2^4017126960 is an apocalyptic number.

4017126960 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 4017126960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8892930816).

4017126960 is an abundant number, since it is smaller than the sum of its proper divisors (13768734672).

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

4017126960 is a wasteful number, since it uses less digits than its factorization.

4017126960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4017126960 is about 63380.8090828762. The cubic root of 4017126960 is about 1589.6634389099.

The spelling of 4017126960 in words is "four billion, seventeen million, one hundred twenty-six thousand, nine hundred sixty".