21414454560 has 72 divisors (see below), whose sum is σ = 73076831100. Its totient is φ = 5710520832.

The previous prime is 21414454559. The next prime is 21414454573. The reversal of 21414454560 is 6545441412.

21414454560 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 44 + 54 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19979257104 + 1435197456 = 141348^2 + 37884^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7434135 + ... + 7437014.

Almost surely, 2^21414454560 is an apocalyptic number.

21414454560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21414454560 is an abundant number, since it is smaller than the sum of its proper divisors (51662376540).

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

21414454560 is a wasteful number, since it uses less digits than its factorization.

21414454560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14871170 (or 14871159 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 21414454560 its reverse (6545441412), we get a palindrome (27959895972).

The spelling of 21414454560 in words is "twenty-one billion, four hundred fourteen million, four hundred fifty-four thousand, five hundred sixty".