4112700480 has 560 divisors, whose sum is σ = 17614270080. Its totient is φ = 889823232.

The previous prime is 4112700451. The next prime is 4112700481. The reversal of 4112700480 is 840072114.

4112700480 is a `hidden beast` number, since 4 + 112 + 70 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4112700481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3446764 + ... + 3447956.

Almost surely, 2^4112700480 is an apocalyptic number.

4112700480 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 4112700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8807135040).

4112700480 is an abundant number, since it is smaller than the sum of its proper divisors (13501569600).

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

4112700480 is a wasteful number, since it uses less digits than its factorization.

4112700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4112700480 is about 64130.3397776747. The cubic root of 4112700480 is about 1602.1715929483.

Adding to 4112700480 its reverse (840072114), we get a palindrome (4952772594).

The spelling of 4112700480 in words is "four billion, one hundred twelve million, seven hundred thousand, four hundred eighty".