14045571072000 has 2160 divisors, whose sum is σ = 57203556988032. Its totient is φ = 3436668518400.

The previous prime is 14045571071999. The next prime is 14045571072011. The reversal of 14045571072000 is 27017554041.

14045571072000 is a `hidden beast` number, since 1 + 40 + 45 + 571 + 0 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

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, 84105215917 + ... + 84105216083.

Almost surely, 2^{14045571072000} is an apocalyptic number.

14045571072000 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 14045571072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28601778494016).

14045571072000 is an abundant number, since it is smaller than the sum of its proper divisors (43157985916032).

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

14045571072000 is an frugal number, since it uses more digits than its factorization.

14045571072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 14045571072000 in words is "fourteen trillion, forty-five billion, five hundred seventy-one million, seventy-two thousand".