4131408998682 has 384 divisors, whose sum is σ = 11805008117760. Its totient is φ = 1015500810240.

The previous prime is 4131408998611. The next prime is 4131408998693. The reversal of 4131408998682 is 2868998041314.

4131408998682 is a `hidden beast` number, since 4 + 131 + 408 + 9 + 98 + 6 + 8 + 2 = 666.

4131408998682 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 437783668 + ... + 437793104.

It is an arithmetic number, because the mean of its divisors is an integer number (30742208640).

Almost surely, 2^{4131408998682} is an apocalyptic number.

4131408998682 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131408998682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902504058880).

4131408998682 is an abundant number, since it is smaller than the sum of its proper divisors (7673599119078).

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

4131408998682 is a wasteful number, since it uses less digits than its factorization.

4131408998682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9866 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 4131408998682 in words is "four trillion, one hundred thirty-one billion, four hundred eight million, nine hundred ninety-eight thousand, six hundred eighty-two".