4231591760000 has 640 divisors, whose sum is σ = 11942111301120. Its totient is φ = 1479168000000.

The previous prime is 4231591759973. The next prime is 4231591760009. The reversal of 4231591760000 is 671951324.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (4231591760009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4937679572 + ... + 4937680428.

It is an arithmetic number, because the mean of its divisors is an integer number (18659548908).

Almost surely, 2^{4231591760000} is an apocalyptic number.

4231591760000 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 4231591760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971055650560).

4231591760000 is an abundant number, since it is smaller than the sum of its proper divisors (7710519541120).

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

4231591760000 is a wasteful number, since it uses less digits than its factorization.

4231591760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 4231591760000 in words is "four trillion, two hundred thirty-one billion, five hundred ninety-one million, seven hundred sixty thousand".