21714456240 has 160 divisors (see below), whose sum is σ = 74846400000. Its totient is φ = 5786484480.

The previous prime is 21714456233. The next prime is 21714456251. The reversal of 21714456240 is 4265441712.

21714456240 is a `hidden beast` number, since 2 + 17 + 1 + 44 + 562 + 40 = 666.

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 = 21714456195 and 21714456204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4341261 + ... + 4346259.

It is an arithmetic number, because the mean of its divisors is an integer number (467790000).

Almost surely, 2^21714456240 is an apocalyptic number.

21714456240 is a gapful number since it is divisible by the number (20) 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 21714456240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37423200000).

21714456240 is an abundant number, since it is smaller than the sum of its proper divisors (53131943760).

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

21714456240 is a wasteful number, since it uses less digits than its factorization.

21714456240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032 (or 7020 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 21714456240 its reverse (4265441712), we get a palindrome (25979897952).

The spelling of 21714456240 in words is "twenty-one billion, seven hundred fourteen million, four hundred fifty-six thousand, two hundred forty".