14821424640 has 240 divisors, whose sum is σ = 55998152496. Its totient is φ = 3593011200.

The previous prime is 14821424557. The next prime is 14821424669. The reversal of 14821424640 is 4642412841.

14821424640 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 1 + 4 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 14821424595 and 14821424604.

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, 224200 + ... + 282680.

Almost surely, 2^14821424640 is an apocalyptic number.

14821424640 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 14821424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27999076248).

14821424640 is an abundant number, since it is smaller than the sum of its proper divisors (41176727856).

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

14821424640 is a wasteful number, since it uses less digits than its factorization.

14821424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58521 (or 58502 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 14821424640 in words is "fourteen billion, eight hundred twenty-one million, four hundred twenty-four thousand, six hundred forty".