14243264006400 has 1296 divisors, whose sum is σ = 63345254394240. Its totient is φ = 2999785881600.

The previous prime is 14243264006393. The next prime is 14243264006407. The reversal of 14243264006400 is 460046234241.

14243264006400 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 3 + 2 + 6 + 4 + 0 + 0 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14243264006393) and next prime (14243264006407).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14243264006407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139974741 + ... + 140076459.

Almost surely, 2^{14243264006400} is an apocalyptic number.

14243264006400 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 14243264006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31672627197120).

14243264006400 is an abundant number, since it is smaller than the sum of its proper divisors (49101990387840).

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

14243264006400 is a wasteful number, since it uses less digits than its factorization.

14243264006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101792 (or 101770 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 14243264006400 in words is "fourteen trillion, two hundred forty-three billion, two hundred sixty-four million, six thousand, four hundred".