4139112960 has 200 divisors, whose sum is σ = 14825737476. Its totient is φ = 1103708160.

The previous prime is 4139112907. The next prime is 4139112977. The reversal of 4139112960 is 692119314.

It is a happy number.

4139112960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3996262656 + 142850304 = 63216^2 + 11952^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 197380 + ... + 217340.

Almost surely, 2^4139112960 is an apocalyptic number.

4139112960 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 4139112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7412868738).

4139112960 is an abundant number, since it is smaller than the sum of its proper divisors (10686624516).

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

4139112960 is an equidigital number, since it uses as much as digits as its factorization.

4139112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19996 (or 19971 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 4139112960 is about 64335.9383237705. The cubic root of 4139112960 is about 1605.5940852537.

The spelling of 4139112960 in words is "four billion, one hundred thirty-nine million, one hundred twelve thousand, nine hundred sixty".