4001241807160 has 128 divisors (see below), whose sum is σ = 10009340812800. Its totient is φ = 1429542420480.

The previous prime is 4001241807109. The next prime is 4001241807239. The reversal of 4001241807160 is 617081421004.

It is a happy number.

4001241807160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242065776 + ... + 242082304.

It is an arithmetic number, because the mean of its divisors is an integer number (78197975100).

Almost surely, 2^{4001241807160} is an apocalyptic number.

4001241807160 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 4001241807160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004670406400).

4001241807160 is an abundant number, since it is smaller than the sum of its proper divisors (6008099005640).

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

4001241807160 is a wasteful number, since it uses less digits than its factorization.

4001241807160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31601 (or 31597 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 4001241807160 in words is "four trillion, one billion, two hundred forty-one million, eight hundred seven thousand, one hundred sixty".