4140339840000 has 1760 divisors, whose sum is σ = 18865254186240. Its totient is φ = 873234432000.

The previous prime is 4140339839971. The next prime is 4140339840029. The reversal of 4140339840000 is 489330414.

4140339840000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4140339839971) and next prime (4140339840029).

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 159 ways as a sum of consecutive naturals, for example, 1572478684 + ... + 1572481316.

It is an arithmetic number, because the mean of its divisors is an integer number (10718894424).

Almost surely, 2^{4140339840000} is an apocalyptic number.

4140339840000 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 4140339840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9432627093120).

4140339840000 is an abundant number, since it is smaller than the sum of its proper divisors (14724914346240).

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

4140339840000 is a wasteful number, since it uses less digits than its factorization.

4140339840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4140339840000 in words is "four trillion, one hundred forty billion, three hundred thirty-nine million, eight hundred forty thousand".