424134711506682 has 192 divisors, whose sum is σ = 1039652457782400. Its totient is φ = 128072659334400.

The previous prime is 424134711506659. The next prime is 424134711506683. The reversal of 424134711506682 is 286605117431424.

424134711506682 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 3 + 4 + 71 + 1 + 506 + 68 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (424134711506683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2225901318 + ... + 2226091854.

It is an arithmetic number, because the mean of its divisors is an integer number (5414856550950).

Almost surely, 2^{424134711506682} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424134711506682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519826228891200).

424134711506682 is an abundant number, since it is smaller than the sum of its proper divisors (615517746275718).

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

424134711506682 is a wasteful number, since it uses less digits than its factorization.

424134711506682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191770 (or 191753 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 424134711506682 in words is "four hundred twenty-four trillion, one hundred thirty-four billion, seven hundred eleven million, five hundred six thousand, six hundred eighty-two".