14300420010440 has 384 divisors, whose sum is σ = 35672247072000. Its totient is φ = 5141300097024.

The previous prime is 14300420010407. The next prime is 14300420010451. The reversal of 14300420010440 is 4401002400341.

It is a happy number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15560848301 + ... + 15560849219.

It is an arithmetic number, because the mean of its divisors is an integer number (92896476750).

Almost surely, 2^{14300420010440} is an apocalyptic number.

14300420010440 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 14300420010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17836123536000).

14300420010440 is an abundant number, since it is smaller than the sum of its proper divisors (21371827061560).

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

14300420010440 is a wasteful number, since it uses less digits than its factorization.

14300420010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 14300420010440 its reverse (4401002400341), we get a palindrome (18701422410781).

The spelling of 14300420010440 in words is "fourteen trillion, three hundred billion, four hundred twenty million, ten thousand, four hundred forty".