21041001314304 has 192 divisors, whose sum is σ = 56435914080000. Its totient is φ = 6971160330240.

The previous prime is 21041001314293. The next prime is 21041001314353. The reversal of 21041001314304 is 40341310014012.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3597364372 + ... + 3597370220.

It is an arithmetic number, because the mean of its divisors is an integer number (293937052500).

Almost surely, 2^{21041001314304} is an apocalyptic number.

21041001314304 is a gapful number since it is divisible by the number (24) 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 21041001314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28217957040000).

21041001314304 is an abundant number, since it is smaller than the sum of its proper divisors (35394912765696).

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

21041001314304 is a wasteful number, since it uses less digits than its factorization.

21041001314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9324 (or 9304 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21041001314304 its reverse (40341310014012), we get a palindrome (61382311328316).

The spelling of 21041001314304 in words is "twenty-one trillion, forty-one billion, one million, three hundred fourteen thousand, three hundred four".