10430332416 has 800 divisors, whose sum is σ = 39293675520. Its totient is φ = 2687385600.

The previous prime is 10430332379. The next prime is 10430332481. The reversal of 10430332416 is 61423303401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10430332416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 170989026 + ... + 170989086.

Almost surely, 2^10430332416 is an apocalyptic number.

10430332416 is a gapful number since it is divisible by the number (16) 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 10430332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19646837760).

10430332416 is an abundant number, since it is smaller than the sum of its proper divisors (28863343104).

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

10430332416 is an equidigital number, since it uses as much as digits as its factorization.

10430332416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10430332416 its reverse (61423303401), we get a palindrome (71853635817).

The spelling of 10430332416 in words is "ten billion, four hundred thirty million, three hundred thirty-two thousand, four hundred sixteen".