14304409980000 has 480 divisors, whose sum is σ = 55354240972800. Its totient is φ = 3164106240000.

The previous prime is 14304409979957. The next prime is 14304409980019. The reversal of 14304409980000 is 8990440341.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×14304409980000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12470676 + ... + 13569324.

It is an arithmetic number, because the mean of its divisors is an integer number (115321335360).

Almost surely, 2^{14304409980000} is an apocalyptic number.

14304409980000 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 14304409980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27677120486400).

14304409980000 is an abundant number, since it is smaller than the sum of its proper divisors (41049830992800).

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

14304409980000 is a wasteful number, since it uses less digits than its factorization.

14304409980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098720 (or 1098697 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 14304409980000 in words is "fourteen trillion, three hundred four billion, four hundred nine million, nine hundred eighty thousand".