14215410400 has 72 divisors (see below), whose sum is σ = 34720996464. Its totient is φ = 5683276800.

The previous prime is 14215410389. The next prime is 14215410403. The reversal of 14215410400 is 401451241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14215410403) 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, 2319340 + ... + 2325460.

It is an arithmetic number, because the mean of its divisors is an integer number (482236062).

Almost surely, 2^14215410400 is an apocalyptic number.

14215410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14215410400 is an abundant number, since it is smaller than the sum of its proper divisors (20505586064).

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

14215410400 is a wasteful number, since it uses less digits than its factorization.

14215410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9044 (or 9031 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 14215410400 its reverse (401451241), we get a palindrome (14616861641).

The spelling of 14215410400 in words is "fourteen billion, two hundred fifteen million, four hundred ten thousand, four hundred".