10411376130 has 192 divisors, whose sum is σ = 29772943200. Its totient is φ = 2512527360.

The previous prime is 10411376119. The next prime is 10411376141. The reversal of 10411376130 is 3167311401.

10411376130 is a `hidden beast` number, since 1 + 0 + 4 + 11 + 37 + 613 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10411376119) and next prime (10411376141).

It can be written as a sum of positive squares in 16 ways, for example, as 2929299129 + 7482077001 = 54123^2 + 86499^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10411376094 and 10411376103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20454316 + ... + 20454824.

Almost surely, 2^10411376130 is an apocalyptic number.

10411376130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10411376130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886471600).

10411376130 is an abundant number, since it is smaller than the sum of its proper divisors (19361567070).

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

10411376130 is a wasteful number, since it uses less digits than its factorization.

10411376130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 10411376130 its reverse (3167311401), we get a palindrome (13578687531).

The spelling of 10411376130 in words is "ten billion, four hundred eleven million, three hundred seventy-six thousand, one hundred thirty".