10414434030 has 576 divisors, whose sum is σ = 35616941568. Its totient is φ = 1924715520.

The previous prime is 10414434011. The next prime is 10414434049. The reversal of 10414434030 is 3043441401.

It is an interprime number because it is at equal distance from previous prime (10414434011) and next prime (10414434049).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 101110959 + ... + 101111061.

It is an arithmetic number, because the mean of its divisors is an integer number (61834968).

Almost surely, 2^10414434030 is an apocalyptic number.

10414434030 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 10414434030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808470784).

10414434030 is an abundant number, since it is smaller than the sum of its proper divisors (25202507538).

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

10414434030 is a wasteful number, since it uses less digits than its factorization.

10414434030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10414434030 its reverse (3043441401), we get a palindrome (13457875431).

It can be divided in two parts, 10414 and 434030, that added together give a palindrome (444444).

The spelling of 10414434030 in words is "ten billion, four hundred fourteen million, four hundred thirty-four thousand, thirty".