14221709187840 has 2880 divisors, whose sum is σ = 67173230057472. Its totient is φ = 2785325875200.

The previous prime is 14221709187823. The next prime is 14221709187859. The reversal of 14221709187840 is 4878190712241.

14221709187840 is a `hidden beast` number, since 1 + 422 + 17 + 0 + 91 + 87 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13404060910 + ... + 13404061970.

Almost surely, 2^{14221709187840} is an apocalyptic number.

14221709187840 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 14221709187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33586615028736).

14221709187840 is an abundant number, since it is smaller than the sum of its proper divisors (52951520869632).

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

14221709187840 is a wasteful number, since it uses less digits than its factorization.

14221709187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 14221709187840 in words is "fourteen trillion, two hundred twenty-one billion, seven hundred nine million, one hundred eighty-seven thousand, eight hundred forty".