4129671008340 has 216 divisors, whose sum is σ = 13312930804992. Its totient is φ = 1035994905600.

The previous prime is 4129671008321. The next prime is 4129671008377. The reversal of 4129671008340 is 438001769214.

4129671008340 is a `hidden beast` number, since 4 + 1 + 296 + 7 + 10 + 0 + 8 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 122282137 + ... + 122315903.

It is an arithmetic number, because the mean of its divisors is an integer number (61633938912).

Almost surely, 2^{4129671008340} 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 4129671008340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656465402496).

4129671008340 is an abundant number, since it is smaller than the sum of its proper divisors (9183259796652).

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

4129671008340 is a wasteful number, since it uses less digits than its factorization.

4129671008340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36167 (or 36145 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4129671008340 in words is "four trillion, one hundred twenty-nine billion, six hundred seventy-one million, eight thousand, three hundred forty".