4129384849920 has 720 divisors, whose sum is σ = 15749398520856. Its totient is φ = 999161856000.

The previous prime is 4129384849913. The next prime is 4129384849921. The reversal of 4129384849920 is 299484839214.

4129384849920 is a `hidden beast` number, since 4 + 12 + 9 + 38 + 484 + 99 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2663580674304 + 1465804175616 = 1632048^2 + 1210704^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (4129384849921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1954274784 + ... + 1954276896.

Almost surely, 2^{4129384849920} is an apocalyptic number.

4129384849920 is a gapful number since it is divisible by the number (40) 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 4129384849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874699260428).

4129384849920 is an abundant number, since it is smaller than the sum of its proper divisors (11620013670936).

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

4129384849920 is a wasteful number, since it uses less digits than its factorization.

4129384849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 4129384849920 in words is "four trillion, one hundred twenty-nine billion, three hundred eighty-four million, eight hundred forty-nine thousand, nine hundred twenty".