4139013960 has 192 divisors, whose sum is σ = 14506128000. Its totient is φ = 1020072960.

The previous prime is 4139013937. The next prime is 4139014007. The reversal of 4139013960 is 693109314.

It is a super-2 number, since 2×4139013960² = 34262873122149763200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273061 + ... + 287819.

It is an arithmetic number, because the mean of its divisors is an integer number (75552750).

Almost surely, 2^4139013960 is an apocalyptic number.

4139013960 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 4139013960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7253064000).

4139013960 is an abundant number, since it is smaller than the sum of its proper divisors (10367114040).

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

4139013960 is a wasteful number, since it uses less digits than its factorization.

4139013960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14836 (or 14829 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 4139013960 is about 64335.1689202725. The cubic root of 4139013960 is about 1605.5812841952.

The spelling of 4139013960 in words is "four billion, one hundred thirty-nine million, thirteen thousand, nine hundred sixty".