14064054400 has 192 divisors, whose sum is σ = 38711986560. Its totient is φ = 5004800000.

The previous prime is 14064054373. The next prime is 14064054439. The reversal of 14064054400 is 445046041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1650150 + ... + 1658650.

It is an arithmetic number, because the mean of its divisors is an integer number (201624930).

Almost surely, 2^14064054400 is an apocalyptic number.

14064054400 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 14064054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19355993280).

14064054400 is an abundant number, since it is smaller than the sum of its proper divisors (24647932160).

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

14064054400 is a wasteful number, since it uses less digits than its factorization.

14064054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8583 (or 8566 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 14064054400 in words is "fourteen billion, sixty-four million, fifty-four thousand, four hundred".