14420303442100 has 72 divisors (see below), whose sum is σ = 32063217619608. Its totient is φ = 5626041907200.

The previous prime is 14420303442089. The next prime is 14420303442133. The reversal of 14420303442100 is 124430302441.

It can be written as a sum of positive squares in 12 ways, for example, as 9547185381904 + 4873118060196 = 3089852^2 + 2207514^2 .

It is a super-2 number, since 2×14420303442100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16200234 + ... + 17067166.

It is an arithmetic number, because the mean of its divisors is an integer number (445322466939).

Almost surely, 2^{14420303442100} is an apocalyptic number.

14420303442100 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 14420303442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16031608809804).

14420303442100 is an abundant number, since it is smaller than the sum of its proper divisors (17642914177508).

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

14420303442100 is a wasteful number, since it uses less digits than its factorization.

14420303442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871045 (or 871038 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14420303442100 its reverse (124430302441), we get a palindrome (14544733744541).

The spelling of 14420303442100 in words is "fourteen trillion, four hundred twenty billion, three hundred three million, four hundred forty-two thousand, one hundred".