10414131120 has 200 divisors, whose sum is σ = 36853484976. Its totient is φ = 2724613632.

The previous prime is 10414131071. The next prime is 10414131193. The reversal of 10414131120 is 2113141401.

10414131120 is a `hidden beast` number, since 1 + 0 + 414 + 131 + 120 = 666.

10414131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10414131093 and 10414131102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 328279 + ... + 358601.

Almost surely, 2^10414131120 is an apocalyptic number.

10414131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10414131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18426742488).

10414131120 is an abundant number, since it is smaller than the sum of its proper divisors (26439353856).

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

10414131120 is a wasteful number, since it uses less digits than its factorization.

10414131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30401 (or 30386 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10414131120 its reverse (2113141401), we get a palindrome (12527272521).

The spelling of 10414131120 in words is "ten billion, four hundred fourteen million, one hundred thirty-one thousand, one hundred twenty".