4112259840 has 576 divisors, whose sum is σ = 16050142080. Its totient is φ = 1003290624.

The previous prime is 4112259839. The next prime is 4112259881. The reversal of 4112259840 is 489522114.

4112259840 is a `hidden beast` number, since 4 + 1 + 1 + 22 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 4112259795 and 4112259804.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 36391624 + ... + 36391736.

It is an arithmetic number, because the mean of its divisors is an integer number (27864830).

Almost surely, 2^4112259840 is an apocalyptic number.

4112259840 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 4112259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8025071040).

4112259840 is an abundant number, since it is smaller than the sum of its proper divisors (11937882240).

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

4112259840 is an equidigital number, since it uses as much as digits as its factorization.

4112259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4112259840 is about 64126.9041822541. The cubic root of 4112259840 is about 1602.1143713320.

The spelling of 4112259840 in words is "four billion, one hundred twelve million, two hundred fifty-nine thousand, eight hundred forty".