21671317710240 has 768 divisors, whose sum is σ = 85025901864960. Its totient is φ = 4570103808000.

The previous prime is 21671317710233. The next prime is 21671317710269. The reversal of 21671317710240 is 4201771317612.

It is a super-2 number, since 2×21671317710240² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21671317710192 and 21671317710201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69768075 + ... + 70078005.

It is an arithmetic number, because the mean of its divisors is an integer number (110710809720).

Almost surely, 2^{21671317710240} is an apocalyptic number.

21671317710240 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 21671317710240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42512950932480).

21671317710240 is an abundant number, since it is smaller than the sum of its proper divisors (63354584154720).

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

21671317710240 is a wasteful number, since it uses less digits than its factorization.

21671317710240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310037 (or 310029 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 21671317710240 in words is "twenty-one trillion, six hundred seventy-one billion, three hundred seventeen million, seven hundred ten thousand, two hundred forty".