14044459968000 has 3840 divisors, whose sum is σ = 69791381637120. Its totient is φ = 2743566336000.

The previous prime is 14044459967981. The next prime is 14044459968023. The reversal of 14044459968000 is 86995444041.

14044459968000 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 44 + 599 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×14044459968000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15833663557 + ... + 15833664443.

It is an arithmetic number, because the mean of its divisors is an integer number (18174838968).

Almost surely, 2^{14044459968000} is an apocalyptic number.

14044459968000 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 14044459968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34895690818560).

14044459968000 is an abundant number, since it is smaller than the sum of its proper divisors (55746921669120).

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

14044459968000 is a wasteful number, since it uses less digits than its factorization.

14044459968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 14044459968000 in words is "fourteen trillion, forty-four billion, four hundred fifty-nine million, nine hundred sixty-eight thousand".