4031413301120 has 128 divisors (see below), whose sum is σ = 9693256003200. Its totient is φ = 1603274014720.

The previous prime is 4031413301081. The next prime is 4031413301131. The reversal of 4031413301120 is 211033141304.

4031413301120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98026802 + ... + 98067918.

It is an arithmetic number, because the mean of its divisors is an integer number (75728562525).

Almost surely, 2^{4031413301120} is an apocalyptic number.

4031413301120 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 4031413301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846628001600).

4031413301120 is an abundant number, since it is smaller than the sum of its proper divisors (5661842702080).

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

4031413301120 is a wasteful number, since it uses less digits than its factorization.

4031413301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42016 (or 42004 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 4031413301120 its reverse (211033141304), we get a palindrome (4242446442424).

The spelling of 4031413301120 in words is "four trillion, thirty-one billion, four hundred thirteen million, three hundred one thousand, one hundred twenty".