10355430400 has 132 divisors (see below), whose sum is σ = 29336424928. Its totient is φ = 3550371840.

The previous prime is 10355430391. The next prime is 10355430451. The reversal of 10355430400 is 403455301.

It is a super-3 number, since 3×10355430400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150307 + ... + 208093.

Almost surely, 2^10355430400 is an apocalyptic number.

10355430400 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 10355430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14668212464).

10355430400 is an abundant number, since it is smaller than the sum of its proper divisors (18980994528).

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

10355430400 is an equidigital number, since it uses as much as digits as its factorization.

10355430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57824 (or 57801 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 10355430400 its reverse (403455301), we get a palindrome (10758885701).

The spelling of 10355430400 in words is "ten billion, three hundred fifty-five million, four hundred thirty thousand, four hundred".