21344413410000 has 400 divisors, whose sum is σ = 81061914384000. Its totient is φ = 5357028096000.

The previous prime is 21344413409999. The next prime is 21344413410029. The reversal of 21344413410000 is 1431444312.

21344413410000 is a `hidden beast` number, since 213 + 4 + 441 + 3 + 4 + 1 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2264901 + ... + 6915099.

It is an arithmetic number, because the mean of its divisors is an integer number (202654785960).

Almost surely, 2^{21344413410000} is an apocalyptic number.

21344413410000 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 21344413410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40530957192000).

21344413410000 is an abundant number, since it is smaller than the sum of its proper divisors (59717500974000).

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

21344413410000 is a wasteful number, since it uses less digits than its factorization.

21344413410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650253 (or 4650226 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 21344413410000 its reverse (1431444312), we get a palindrome (21345844854312).

The spelling of 21344413410000 in words is "twenty-one trillion, three hundred forty-four billion, four hundred thirteen million, four hundred ten thousand".