21314938320 has 640 divisors, whose sum is σ = 82128076800. Its totient is φ = 5047805952.

The previous prime is 21314938303. The next prime is 21314938331. The reversal of 21314938320 is 2383941312.

21314938320 is a `hidden beast` number, since 2 + 131 + 493 + 8 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153344811 + ... + 153344949.

It is an arithmetic number, because the mean of its divisors is an integer number (128325120).

Almost surely, 2^21314938320 is an apocalyptic number.

21314938320 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 21314938320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41064038400).

21314938320 is an abundant number, since it is smaller than the sum of its proper divisors (60813138480).

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

21314938320 is a wasteful number, since it uses less digits than its factorization.

21314938320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 21314938320 in words is "twenty-one billion, three hundred fourteen million, nine hundred thirty-eight thousand, three hundred twenty".