10353144400 has 120 divisors (see below), whose sum is σ = 26274262784. Its totient is φ = 3914265600.

The previous prime is 10353144383. The next prime is 10353144401. The reversal of 10353144400 is 444135301.

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 (10353144401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 523492 + ... + 542908.

Almost surely, 2^10353144400 is an apocalyptic number.

10353144400 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 10353144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13137131392).

10353144400 is an abundant number, since it is smaller than the sum of its proper divisors (15921118384).

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

10353144400 is a wasteful number, since it uses less digits than its factorization.

10353144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19509 (or 19498 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10353144400 its reverse (444135301), we get a palindrome (10797279701).

Subtracting from 10353144400 its reverse (444135301), we obtain a palindrome (9909009099).

The spelling of 10353144400 in words is "ten billion, three hundred fifty-three million, one hundred forty-four thousand, four hundred".