4135630021160 has 256 divisors, whose sum is σ = 10671511173120. Its totient is φ = 1427766912000.

The previous prime is 4135630021151. The next prime is 4135630021181. The reversal of 4135630021160 is 611200365314.

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 63 ways as a sum of consecutive naturals, for example, 1931633690 + ... + 1931635830.

It is an arithmetic number, because the mean of its divisors is an integer number (41685590520).

Almost surely, 2^{4135630021160} is an apocalyptic number.

4135630021160 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 4135630021160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335755586560).

4135630021160 is an abundant number, since it is smaller than the sum of its proper divisors (6535881151960).

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

4135630021160 is a wasteful number, since it uses less digits than its factorization.

4135630021160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 4135630021160 its reverse (611200365314), we get a palindrome (4746830386474).

The spelling of 4135630021160 in words is "four trillion, one hundred thirty-five billion, six hundred thirty million, twenty-one thousand, one hundred sixty".