10414130434434 has 72 divisors (see below), whose sum is σ = 23609288272752. Its totient is φ = 3317400585840.

The previous prime is 10414130434429. The next prime is 10414130434517. The reversal of 10414130434434 is 43443403141401.

10414130434434 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 4 + 1 + 304 + 344 + 3 + 4 = 666.

It is a super-2 number, since 2×10414130434434² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9887269 + ... + 10889735.

It is an arithmetic number, because the mean of its divisors is an integer number (327906781566).

Almost surely, 2^{10414130434434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10414130434434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11804644136376).

10414130434434 is an abundant number, since it is smaller than the sum of its proper divisors (13195157838318).

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

10414130434434 is a wasteful number, since it uses less digits than its factorization.

10414130434434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003612 (or 1003586 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 10414130434434 its reverse (43443403141401), we get a palindrome (53857533575835).

The spelling of 10414130434434 in words is "ten trillion, four hundred fourteen billion, one hundred thirty million, four hundred thirty-four thousand, four hundred thirty-four".