10415230400 has 84 divisors (see below), whose sum is σ = 26010751128. Its totient is φ = 4103869440.

The previous prime is 10415230339. The next prime is 10415230439. The reversal of 10415230400 is 403251401.

10415230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58622 + ... + 155778.

Almost surely, 2^10415230400 is an apocalyptic number.

10415230400 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 10415230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005375564).

10415230400 is an abundant number, since it is smaller than the sum of its proper divisors (15595520728).

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

10415230400 is an equidigital number, since it uses as much as digits as its factorization.

10415230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97246 (or 97231 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10415230400 its reverse (403251401), we get a palindrome (10818481801).

The spelling of 10415230400 in words is "ten billion, four hundred fifteen million, two hundred thirty thousand, four hundred".