4117752760 has 64 divisors (see below), whose sum is σ = 10151982720. Its totient is φ = 1490732160.

The previous prime is 4117752731. The next prime is 4117752761. The reversal of 4117752760 is 672577114.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117752761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79267 + ... + 120493.

It is an arithmetic number, because the mean of its divisors is an integer number (158624730).

Almost surely, 2^4117752760 is an apocalyptic number.

4117752760 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 4117752760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075991360).

4117752760 is an abundant number, since it is smaller than the sum of its proper divisors (6034229960).

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

4117752760 is a wasteful number, since it uses less digits than its factorization.

4117752760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41476 (or 41472 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The square root of 4117752760 is about 64169.7184036209. The cubic root of 4117752760 is about 1602.8273913433.

The spelling of 4117752760 in words is "four billion, one hundred seventeen million, seven hundred fifty-two thousand, seven hundred sixty".