4135030141320 has 192 divisors, whose sum is σ = 14496458296320. Its totient is φ = 1016176015872.

The previous prime is 4135030141223. The next prime is 4135030141349. The reversal of 4135030141320 is 231410305314.

It is a happy number.

4135030141320 is a `hidden beast` number, since 4 + 1 + 35 + 0 + 301 + 4 + 1 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2112957 + ... + 3568563.

It is an arithmetic number, because the mean of its divisors is an integer number (75502386960).

Almost surely, 2^{4135030141320} is an apocalyptic number.

4135030141320 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 4135030141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7248229148160).

4135030141320 is an abundant number, since it is smaller than the sum of its proper divisors (10361428155000).

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

4135030141320 is a wasteful number, since it uses less digits than its factorization.

4135030141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456244 (or 1456237 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 4135030141320 its reverse (231410305314), we get a palindrome (4366440446634).

It can be divided in two parts, 4135030 and 141320, that added together give a triangular number (4276350 = T₂₉₂₄).

The spelling of 4135030141320 in words is "four trillion, one hundred thirty-five billion, thirty million, one hundred forty-one thousand, three hundred twenty".