14005688901120 has 2240 divisors, whose sum is σ = 59870708029440. Its totient is φ = 3074369126400.

The previous prime is 14005688901103. The next prime is 14005688901121. The reversal of 14005688901120 is 2110988650041.

It is a happy number.

14005688901120 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 568 + 89 + 0 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14005688901121) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 42313259355 + ... + 42313259685.

It is an arithmetic number, because the mean of its divisors is an integer number (26727994656).

Almost surely, 2^{14005688901120} is an apocalyptic number.

14005688901120 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 14005688901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29935354014720).

14005688901120 is an abundant number, since it is smaller than the sum of its proper divisors (45865019128320).

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

14005688901120 is an frugal number, since it uses more digits than its factorization.

14005688901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 14005688901120 in words is "fourteen trillion, five billion, six hundred eighty-eight million, nine hundred one thousand, one hundred twenty".