10414041408 has 42 divisors (see below), whose sum is σ = 29849971034. Its totient is φ = 3471346944.

The previous prime is 10414041397. The next prime is 10414041431. The reversal of 10414041408 is 80414041401.

10414041408 is a `hidden beast` number, since 104 + 140 + 414 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10146129984 + 267911424 = 100728^2 + 16368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9039391 + ... + 9040542.

Almost surely, 2^10414041408 is an apocalyptic number.

10414041408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10414041408 is an abundant number, since it is smaller than the sum of its proper divisors (19435929626).

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

10414041408 is a wasteful number, since it uses less digits than its factorization.

10414041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18079951 (or 18079938 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 10414041408 its reverse (80414041401), we get a palindrome (90828082809).

The spelling of 10414041408 in words is "ten billion, four hundred fourteen million, forty-one thousand, four hundred eight".