10409552838 has 84 divisors (see below), whose sum is σ = 24683197140. Its totient is φ = 3281864688.

The previous prime is 10409552833. The next prime is 10409552843. The reversal of 10409552838 is 83825590401.

10409552838 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 95 + 528 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (10409552833) and next prime (10409552843).

It is a super-2 number, since 2×10409552838² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10409552793 and 10409552802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10409552833) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 16981020 + ... + 16981632.

It is an arithmetic number, because the mean of its divisors is an integer number (293847585).

Almost surely, 2^10409552838 is an apocalyptic number.

10409552838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10409552838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12341598570).

10409552838 is an abundant number, since it is smaller than the sum of its proper divisors (14273644302).

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

10409552838 is an frugal number, since it uses more digits than its factorization.

10409552838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10409552838 in words is "ten billion, four hundred nine million, five hundred fifty-two thousand, eight hundred thirty-eight".