14402254204400 has 120 divisors (see below), whose sum is σ = 34882378999440. Its totient is φ = 5714199429120.

The previous prime is 14402254204369. The next prime is 14402254204409. The reversal of 14402254204400 is 440245220441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14402254204409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60652304 + ... + 60889296.

It is an arithmetic number, because the mean of its divisors is an integer number (290686491662).

Almost surely, 2^{14402254204400} is an apocalyptic number.

14402254204400 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 14402254204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17441189499720).

14402254204400 is an abundant number, since it is smaller than the sum of its proper divisors (20480124795040).

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

14402254204400 is a wasteful number, since it uses less digits than its factorization.

14402254204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238243 (or 238232 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 32.

Adding to 14402254204400 its reverse (440245220441), we get a palindrome (14842499424841).

The spelling of 14402254204400 in words is "fourteen trillion, four hundred two billion, two hundred fifty-four million, two hundred four thousand, four hundred".