4116026880 has 640 divisors, whose sum is σ = 17158901760. Its totient is φ = 915701760.

The previous prime is 4116026857. The next prime is 4116026881. The reversal of 4116026880 is 886206114.

4116026880 is a `hidden beast` number, since 41 + 1 + 602 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116026881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22740390 + ... + 22740570.

It is an arithmetic number, because the mean of its divisors is an integer number (26810784).

Almost surely, 2^4116026880 is an apocalyptic number.

4116026880 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 4116026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579450880).

4116026880 is an abundant number, since it is smaller than the sum of its proper divisors (13042874880).

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

4116026880 is a wasteful number, since it uses less digits than its factorization.

4116026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4116026880 is about 64156.2692182144. The cubic root of 4116026880 is about 1602.6034282200.

The spelling of 4116026880 in words is "four billion, one hundred sixteen million, twenty-six thousand, eight hundred eighty".