14021400004400 has 120 divisors (see below), whose sum is σ = 33957499683600. Its totient is φ = 5563579392000.

The previous prime is 14021400004393. The next prime is 14021400004457. The reversal of 14021400004400 is 440000412041.

It is a happy number.

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

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, 29045000 + ... + 29523800.

It is an arithmetic number, because the mean of its divisors is an integer number (282979164030).

Almost surely, 2^{14021400004400} is an apocalyptic number.

14021400004400 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 14021400004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16978749841800).

14021400004400 is an abundant number, since it is smaller than the sum of its proper divisors (19936099679200).

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

14021400004400 is a wasteful number, since it uses less digits than its factorization.

14021400004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479407 (or 479396 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14021400004400 its reverse (440000412041), we get a palindrome (14461400416441).

The spelling of 14021400004400 in words is "fourteen trillion, twenty-one billion, four hundred million, four thousand, four hundred".