10385041381 has 48 divisors (see below), whose sum is σ = 12626824320. Its totient is φ = 8463087360.

The previous prime is 10385041349. The next prime is 10385041391. The reversal of 10385041381 is 18314058301.

It is a happy number.

It is not a de Polignac number, because 10385041381 - 2⁵ = 10385041349 is a prime.

It is a super-2 number, since 2×10385041381² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10385041321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10738960 + ... + 10739926.

It is an arithmetic number, because the mean of its divisors is an integer number (263058840).

Almost surely, 2^10385041381 is an apocalyptic number.

10385041381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10385041381 is a deficient number, since it is larger than the sum of its proper divisors (2241782939).

10385041381 is a wasteful number, since it uses less digits than its factorization.

10385041381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

Adding to 10385041381 its reverse (18314058301), we get a palindrome (28699099682).

The spelling of 10385041381 in words is "ten billion, three hundred eighty-five million, forty-one thousand, three hundred eighty-one".