10414100430 has 96 divisors (see below), whose sum is σ = 27569426976. Its totient is φ = 2726894592.

The previous prime is 10414100407. The next prime is 10414100449. The reversal of 10414100430 is 3400141401.

It is a super-2 number, since 2×10414100430² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1527409 + ... + 1534211.

It is an arithmetic number, because the mean of its divisors is an integer number (287181531).

Almost surely, 2^10414100430 is an apocalyptic number.

10414100430 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 10414100430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13784713488).

10414100430 is an abundant number, since it is smaller than the sum of its proper divisors (17155326546).

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

10414100430 is a wasteful number, since it uses less digits than its factorization.

10414100430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7122 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10414100430 its reverse (3400141401), we get a palindrome (13814241831).

The spelling of 10414100430 in words is "ten billion, four hundred fourteen million, one hundred thousand, four hundred thirty".