4112808480 has 768 divisors, whose sum is σ = 16930529280. Its totient is φ = 922521600.

The previous prime is 4112808431. The next prime is 4112808509. The reversal of 4112808480 is 848082114.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 57926845 + ... + 57926915.

It is an arithmetic number, because the mean of its divisors is an integer number (22044960).

Almost surely, 2^4112808480 is an apocalyptic number.

4112808480 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 4112808480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8465264640).

4112808480 is an abundant number, since it is smaller than the sum of its proper divisors (12817720800).

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

4112808480 is a wasteful number, since it uses less digits than its factorization.

4112808480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 4112808480 is about 64131.1818072925. The cubic root of 4112808480 is about 1602.1856172305.

The spelling of 4112808480 in words is "four billion, one hundred twelve million, eight hundred eight thousand, four hundred eighty".