10411034634 has 384 divisors, whose sum is σ = 32889991680. Its totient is φ = 2289254400.

The previous prime is 10411034609. The next prime is 10411034681. The reversal of 10411034634 is 43643011401.

10411034634 is a `hidden beast` number, since 10 + 4 + 1 + 10 + 3 + 4 + 634 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10411034598 and 10411034607.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12558132 + ... + 12558960.

It is an arithmetic number, because the mean of its divisors is an integer number (85651020).

Almost surely, 2^10411034634 is an apocalyptic number.

10411034634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10411034634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444995840).

10411034634 is an abundant number, since it is smaller than the sum of its proper divisors (22478957046).

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

10411034634 is a wasteful number, since it uses less digits than its factorization.

10411034634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10411034634 in words is "ten billion, four hundred eleven million, thirty-four thousand, six hundred thirty-four".