4131689958960 has 320 divisors, whose sum is σ = 13113157132800. Its totient is φ = 1075771367424.

The previous prime is 4131689958947. The next prime is 4131689958973. The reversal of 4131689958960 is 698599861314.

It is an interprime number because it is at equal distance from previous prime (4131689958947) and next prime (4131689958973).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3220334479 + ... + 3220335761.

It is an arithmetic number, because the mean of its divisors is an integer number (40978616040).

Almost surely, 2^{4131689958960} is an apocalyptic number.

4131689958960 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 4131689958960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556578566400).

4131689958960 is an abundant number, since it is smaller than the sum of its proper divisors (8981467173840).

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

4131689958960 is a wasteful number, since it uses less digits than its factorization.

4131689958960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 69.

The spelling of 4131689958960 in words is "four trillion, one hundred thirty-one billion, six hundred eighty-nine million, nine hundred fifty-eight thousand, nine hundred sixty".