4029146126208 has 768 divisors, whose sum is σ = 14508077875200. Its totient is φ = 1087320692736.

The previous prime is 4029146126177. The next prime is 4029146126209. The reversal of 4029146126208 is 8026216419204.

It is a happy number.

4029146126208 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 1 + 4 + 6 + 12 + 620 + 8 = 666.

4029146126208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4029146126209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1584405385 + ... + 1584407927.

It is an arithmetic number, because the mean of its divisors is an integer number (18890726400).

Almost surely, 2^{4029146126208} is an apocalyptic number.

4029146126208 is a gapful number since it is divisible by the number (48) 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 4029146126208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254038937600).

4029146126208 is an abundant number, since it is smaller than the sum of its proper divisors (10478931748992).

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

4029146126208 is a wasteful number, since it uses less digits than its factorization.

4029146126208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4029146126208 in words is "four trillion, twenty-nine billion, one hundred forty-six million, one hundred twenty-six thousand, two hundred eight".