4131243812592 has 480 divisors, whose sum is σ = 13178504521728. Its totient is φ = 1245025686528.

The previous prime is 4131243812567. The next prime is 4131243812603. The reversal of 4131243812592 is 2952183421314.

4131243812592 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 2 + 43 + 8 + 12 + 592 = 666.

4131243812592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4131243812592³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2311831123 + ... + 2311832909.

Almost surely, 2^{4131243812592} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131243812592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589252260864).

4131243812592 is an abundant number, since it is smaller than the sum of its proper divisors (9047260709136).

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

4131243812592 is a wasteful number, since it uses less digits than its factorization.

4131243812592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2721 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 4131243812592 in words is "four trillion, one hundred thirty-one billion, two hundred forty-three million, eight hundred twelve thousand, five hundred ninety-two".