10435224400 has 60 divisors (see below), whose sum is σ = 25134159292. Its totient is φ = 4163512320.

The previous prime is 10435224343. The next prime is 10435224409. The reversal of 10435224400 is 442253401.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 243110464 + 10192113936 = 15592^2 + 100956^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10435224409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125944 + ... + 191656.

Almost surely, 2^10435224400 is an apocalyptic number.

10435224400 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 10435224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12567079646).

10435224400 is an abundant number, since it is smaller than the sum of its proper divisors (14698934892).

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

10435224400 is a wasteful number, since it uses less digits than its factorization.

10435224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66128 (or 66117 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10435224400 its reverse (442253401), we get a palindrome (10877477801).

The spelling of 10435224400 in words is "ten billion, four hundred thirty-five million, two hundred twenty-four thousand, four hundred".