21323514240 has 768 divisors, whose sum is σ = 88216128000. Its totient is φ = 4741632000.

The previous prime is 21323514209. The next prime is 21323514259. The reversal of 21323514240 is 4241532312.

21323514240 is a `hidden beast` number, since 2 + 1 + 3 + 235 + 1 + 424 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84954115 + ... + 84954365.

It is an arithmetic number, because the mean of its divisors is an integer number (114864750).

Almost surely, 2^21323514240 is an apocalyptic number.

21323514240 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 21323514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44108064000).

21323514240 is an abundant number, since it is smaller than the sum of its proper divisors (66892613760).

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

21323514240 is a wasteful number, since it uses less digits than its factorization.

21323514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

It can be divided in two parts, 213235 and 14240, that added together give a triangular number (227475 = T₆₇₄).

The spelling of 21323514240 in words is "twenty-one billion, three hundred twenty-three million, five hundred fourteen thousand, two hundred forty".