4001309141760 has 720 divisors, whose sum is σ = 16564962970080. Its totient is φ = 914565980160.

The previous prime is 4001309141749. The next prime is 4001309141771. The reversal of 4001309141760 is 671419031004.

It is an interprime number because it is at equal distance from previous prime (4001309141749) and next prime (4001309141771).

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 82954450 + ... + 83002670.

It is an arithmetic number, because the mean of its divisors is an integer number (23006893014).

Almost surely, 2^{4001309141760} is an apocalyptic number.

4001309141760 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 4001309141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8282481485040).

4001309141760 is an abundant number, since it is smaller than the sum of its proper divisors (12563653828320).

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

4001309141760 is an frugal number, since it uses more digits than its factorization.

4001309141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48279 (or 48238 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 4001309141760 in words is "four trillion, one billion, three hundred nine million, one hundred forty-one thousand, seven hundred sixty".