14366204640 has 144 divisors (see below), whose sum is σ = 49082014800. Its totient is φ = 3826507776.

The previous prime is 14366204623. The next prime is 14366204651. The reversal of 14366204640 is 4640266341.

14366204640 is a `hidden beast` number, since 1 + 4 + 3 + 6 + 6 + 2 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 14366204595 and 14366204604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332391 + ... + 1343129.

It is an arithmetic number, because the mean of its divisors is an integer number (340847325).

Almost surely, 2^14366204640 is an apocalyptic number.

14366204640 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 14366204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24541007400).

14366204640 is an abundant number, since it is smaller than the sum of its proper divisors (34715810160).

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

14366204640 is a wasteful number, since it uses less digits than its factorization.

14366204640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11689 (or 11678 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 14366204640 in words is "fourteen billion, three hundred sixty-six million, two hundred four thousand, six hundred forty".