14440413030400 has 576 divisors, whose sum is σ = 42916753152000. Its totient is φ = 4711404994560.

The previous prime is 14440413030397. The next prime is 14440413030437. The reversal of 14440413030400 is 403031404441.

It is a happy number.

It is a super-2 number, since 2×14440413030400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1640392399 + ... + 1640401201.

It is an arithmetic number, because the mean of its divisors is an integer number (74508252000).

Almost surely, 2^{14440413030400} is an apocalyptic number.

14440413030400 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 14440413030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21458376576000).

14440413030400 is an abundant number, since it is smaller than the sum of its proper divisors (28476340121600).

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

14440413030400 is a wasteful number, since it uses less digits than its factorization.

14440413030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9064 (or 9039 counting only the distinct ones).

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

Adding to 14440413030400 its reverse (403031404441), we get a palindrome (14843444434841).

The spelling of 14440413030400 in words is "fourteen trillion, four hundred forty billion, four hundred thirteen million, thirty thousand, four hundred".