21340415712 has 216 divisors, whose sum is σ = 71628987528. Its totient is φ = 5542817280.

The previous prime is 21340415693. The next prime is 21340415731. The reversal of 21340415712 is 21751404312.

It is an interprime number because it is at equal distance from previous prime (21340415693) and next prime (21340415731).

It is a self number, because there is not a number n which added to its sum of digits gives 21340415712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 550438 + ... + 587930.

It is an arithmetic number, because the mean of its divisors is an integer number (331615683).

Almost surely, 2^21340415712 is an apocalyptic number.

21340415712 is a gapful number since it is divisible by the number (22) 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 21340415712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35814493764).

21340415712 is an abundant number, since it is smaller than the sum of its proper divisors (50288571816).

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

21340415712 is a wasteful number, since it uses less digits than its factorization.

21340415712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37542 (or 37516 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 21340415712 in words is "twenty-one billion, three hundred forty million, four hundred fifteen thousand, seven hundred twelve".