4131301304000 has 896 divisors, whose sum is σ = 11899220336640. Its totient is φ = 1409550336000.

The previous prime is 4131301303993. The next prime is 4131301304051. The reversal of 4131301304000 is 4031031314.

4131301304000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7037991707 + ... + 7037992293.

It is an arithmetic number, because the mean of its divisors is an integer number (13280379840).

Almost surely, 2^{4131301304000} is an apocalyptic number.

4131301304000 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 4131301304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5949610168320).

4131301304000 is an abundant number, since it is smaller than the sum of its proper divisors (7767919032640).

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

4131301304000 is a wasteful number, since it uses less digits than its factorization.

4131301304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 4131301304000 its reverse (4031031314), we get a palindrome (4135332335314).

The spelling of 4131301304000 in words is "four trillion, one hundred thirty-one billion, three hundred one million, three hundred four thousand".