10414242234 has 192 divisors, whose sum is σ = 25889310720. Its totient is φ = 2998287360.

The previous prime is 10414242227. The next prime is 10414242253. The reversal of 10414242234 is 43224241401.

10414242234 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 424 + 2 + 234 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10414242198 and 10414242207.

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, 74922537 + ... + 74922675.

It is an arithmetic number, because the mean of its divisors is an integer number (134840160).

Almost surely, 2^10414242234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10414242234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12944655360).

10414242234 is an abundant number, since it is smaller than the sum of its proper divisors (15475068486).

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

10414242234 is a wasteful number, since it uses less digits than its factorization.

10414242234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10414242234 its reverse (43224241401), we get a palindrome (53638483635).

The spelling of 10414242234 in words is "ten billion, four hundred fourteen million, two hundred forty-two thousand, two hundred thirty-four".