4129841520 has 720 divisors, whose sum is σ = 17432232480. Its totient is φ = 870912000.

The previous prime is 4129841519. The next prime is 4129841531. The reversal of 4129841520 is 251489214.

4129841520 is a `hidden beast` number, since 4 + 1 + 2 + 98 + 41 + 520 = 666.

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

It is a super-3 number, since 3×4129841520³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40889470 + ... + 40889570.

It is an arithmetic number, because the mean of its divisors is an integer number (24211434).

Almost surely, 2^4129841520 is an apocalyptic number.

4129841520 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 4129841520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8716116240).

4129841520 is an abundant number, since it is smaller than the sum of its proper divisors (13302390960).

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

4129841520 is a wasteful number, since it uses less digits than its factorization.

4129841520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4129841520 is about 64263.8430223403. The cubic root of 4129841520 is about 1604.3943678247.

The spelling of 4129841520 in words is "four billion, one hundred twenty-nine million, eight hundred forty-one thousand, five hundred twenty".