10443350400 has 432 divisors, whose sum is σ = 40284101340. Its totient is φ = 2371031040.

The previous prime is 10443350387. The next prime is 10443350413. The reversal of 10443350400 is 405334401.

It is an interprime number because it is at equal distance from previous prime (10443350387) and next prime (10443350413).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 70089526 + ... + 70089674.

Almost surely, 2^10443350400 is an apocalyptic number.

10443350400 is a gapful number since it is divisible by the number (10) 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 10443350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20142050670).

10443350400 is an abundant number, since it is smaller than the sum of its proper divisors (29840750940).

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

10443350400 is an equidigital number, since it uses as much as digits as its factorization.

10443350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Multiplying 10443350400 by its sum of digits (24), we get a square (250640409600 = 500640²).

10443350400 divided by its sum of digits (24) gives a square (435139600 = 20860²).

Adding to 10443350400 its reverse (405334401), we get a palindrome (10848684801).

The spelling of 10443350400 in words is "ten billion, four hundred forty-three million, three hundred fifty thousand, four hundred".