4116575540 has 96 divisors (see below), whose sum is σ = 10827177984. Its totient is φ = 1277228160.

The previous prime is 4116575539. The next prime is 4116575543. The reversal of 4116575540 is 455756114.

It is a junction number, because it is equal to n+sod(n) for n = 4116575494 and 4116575503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116575543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337427 + ... + 349413.

It is an arithmetic number, because the mean of its divisors is an integer number (112783104).

Almost surely, 2^4116575540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4116575540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413588992).

4116575540 is an abundant number, since it is smaller than the sum of its proper divisors (6710602444).

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

4116575540 is a wasteful number, since it uses less digits than its factorization.

4116575540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12237 (or 12235 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The square root of 4116575540 is about 64160.5450413258. The cubic root of 4116575540 is about 1602.6746332401.

The spelling of 4116575540 in words is "four billion, one hundred sixteen million, five hundred seventy-five thousand, five hundred forty".