14234774400 has 1152 divisors, whose sum is σ = 65111904000. Its totient is φ = 2935296000.

The previous prime is 14234774399. The next prime is 14234774419. The reversal of 14234774400 is 447743241.

It is a happy number.

14234774400 is a `hidden beast` number, since 14 + 234 + 7 + 7 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108662335 + ... + 108662465.

It is an arithmetic number, because the mean of its divisors is an integer number (56520750).

Almost surely, 2^14234774400 is an apocalyptic number.

14234774400 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 14234774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32555952000).

14234774400 is an abundant number, since it is smaller than the sum of its proper divisors (50877129600).

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

14234774400 is a wasteful number, since it uses less digits than its factorization.

14234774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 14234774400 in words is "fourteen billion, two hundred thirty-four million, seven hundred seventy-four thousand, four hundred".