14301201400 has 96 divisors (see below), whose sum is σ = 33558209280. Its totient is φ = 5667776000.

The previous prime is 14301201367. The next prime is 14301201403. The reversal of 14301201400 is 410210341.

14301201400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14301201400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14301201403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12108810 + ... + 12109990.

It is an arithmetic number, because the mean of its divisors is an integer number (349564680).

Almost surely, 2^14301201400 is an apocalyptic number.

14301201400 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 14301201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16779104640).

14301201400 is an abundant number, since it is smaller than the sum of its proper divisors (19257007880).

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

14301201400 is a wasteful number, since it uses less digits than its factorization.

14301201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14301201400 its reverse (410210341), we get a palindrome (14711411741).

The spelling of 14301201400 in words is "fourteen billion, three hundred one million, two hundred one thousand, four hundred".