14364228278400 has 1728 divisors, whose sum is σ = 64363118621760. Its totient is φ = 2754913075200.

The previous prime is 14364228278377. The next prime is 14364228278419. The reversal of 14364228278400 is 487282246341.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1374167574 + ... + 1374178026.

Almost surely, 2^{14364228278400} is an apocalyptic number.

14364228278400 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 14364228278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32181559310880).

14364228278400 is an abundant number, since it is smaller than the sum of its proper divisors (49998890343360).

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

14364228278400 is a wasteful number, since it uses less digits than its factorization.

14364228278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10535 (or 10494 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 14364228278400 in words is "fourteen trillion, three hundred sixty-four billion, two hundred twenty-eight million, two hundred seventy-eight thousand, four hundred".