4130239825152 has 288 divisors, whose sum is σ = 13969014536960. Its totient is φ = 1179194941440.

The previous prime is 4130239825141. The next prime is 4130239825177. The reversal of 4130239825152 is 2515289320314.

4130239825152 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 2 + 398 + 251 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4130239825098 and 4130239825107.

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 31 ways as a sum of consecutive naturals, for example, 66787398 + ... + 66849210.

Almost surely, 2^{4130239825152} is an apocalyptic number.

4130239825152 is a gapful number since it is divisible by the number (42) 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 4130239825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984507268480).

4130239825152 is an abundant number, since it is smaller than the sum of its proper divisors (9838774711808).

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

4130239825152 is a wasteful number, since it uses less digits than its factorization.

4130239825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63226 (or 63206 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 4130239825152 in words is "four trillion, one hundred thirty billion, two hundred thirty-nine million, eight hundred twenty-five thousand, one hundred fifty-two".