4016810385 has 128 divisors (see below), whose sum is σ = 8558161920. Its totient is φ = 1749081600.

The previous prime is 4016810381. The next prime is 4016810393. The reversal of 4016810385 is 5830186104.

It is not a de Polignac number, because 4016810385 - 2² = 4016810381 is a prime.

It is a super-2 number, since 2×4016810385² = 32269531338087696450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4016810381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1664830 + ... + 1667240.

It is an arithmetic number, because the mean of its divisors is an integer number (66860640).

Almost surely, 2^4016810385 is an apocalyptic number.

4016810385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4016810385 is an abundant number, since it is smaller than the sum of its proper divisors (4541351535).

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

4016810385 is a wasteful number, since it uses less digits than its factorization.

4016810385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2510 counting only the distinct ones).

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

The square root of 4016810385 is about 63378.3116294525. The cubic root of 4016810385 is about 1589.6216793034.

Adding to 4016810385 its reverse (5830186104), we get a palindrome (9846996489).

It can be divided in two parts, 4016810 and 385, that added together give a triangular number (4017195 = T₂₈₃₄).

The spelling of 4016810385 in words is "four billion, sixteen million, eight hundred ten thousand, three hundred eighty-five".