14216163840 has 480 divisors, whose sum is σ = 52012920960. Its totient is φ = 3581411328.

The previous prime is 14216163833. The next prime is 14216163851. The reversal of 14216163840 is 4836161241.

14216163840 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 616 + 38 + 4 + 0 = 666.

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

It is a super-3 number, since 3×14216163840³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14216163795 and 14216163804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73658784 + ... + 73658976.

It is an arithmetic number, because the mean of its divisors is an integer number (108360252).

Almost surely, 2^14216163840 is an apocalyptic number.

14216163840 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 14216163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26006460480).

14216163840 is an abundant number, since it is smaller than the sum of its proper divisors (37796757120).

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

14216163840 is a wasteful number, since it uses less digits than its factorization.

14216163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14216163840 in words is "fourteen billion, two hundred sixteen million, one hundred sixty-three thousand, eight hundred forty".