14030256240000 has 5760 divisors, whose sum is σ = 72195491047680. Its totient is φ = 2664990720000.

The previous prime is 14030256239953. The next prime is 14030256240043. The reversal of 14030256240000 is 4265203041.

14030256240000 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 0 + 256 + 2 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 136216079949 + ... + 136216080051.

It is an arithmetic number, because the mean of its divisors is an integer number (12533939418).

Almost surely, 2^{14030256240000} is an apocalyptic number.

14030256240000 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 14030256240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36097745523840).

14030256240000 is an abundant number, since it is smaller than the sum of its proper divisors (58165234807680).

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

14030256240000 is a wasteful number, since it uses less digits than its factorization.

14030256240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 14030256240000 in words is "fourteen trillion, thirty billion, two hundred fifty-six million, two hundred forty thousand".