14443465403400 has 384 divisors, whose sum is σ = 49155622588800. Its totient is φ = 3479224320000.

The previous prime is 14443465403359. The next prime is 14443465403401. The reversal of 14443465403400 is 430456434441.

It is a happy number.

It is a super-3 number, since 3×14443465403400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (14443465403401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1683187110 + ... + 1683195690.

It is an arithmetic number, because the mean of its divisors is an integer number (128009433825).

Almost surely, 2^{14443465403400} is an apocalyptic number.

14443465403400 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 14443465403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24577811294400).

14443465403400 is an abundant number, since it is smaller than the sum of its proper divisors (34712157185400).

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

14443465403400 is a wasteful number, since it uses less digits than its factorization.

14443465403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201 (or 10192 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 14443465403400 in words is "fourteen trillion, four hundred forty-three billion, four hundred sixty-five million, four hundred three thousand, four hundred".