21314909840 has 240 divisors, whose sum is σ = 61983532800. Its totient is φ = 6774921216.

The previous prime is 21314909741. The next prime is 21314909843. The reversal of 21314909840 is 4890941312.

It is not an unprimeable number, because it can be changed into a prime (21314909843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3497516 + ... + 3503604.

It is an arithmetic number, because the mean of its divisors is an integer number (258264720).

Almost surely, 2^21314909840 is an apocalyptic number.

21314909840 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 21314909840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30991766400).

21314909840 is an abundant number, since it is smaller than the sum of its proper divisors (40668622960).

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

21314909840 is a wasteful number, since it uses less digits than its factorization.

21314909840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6182 (or 6169 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 21314909840 in words is "twenty-one billion, three hundred fourteen million, nine hundred nine thousand, eight hundred forty".