21324014414010 has 640 divisors, whose sum is σ = 74100037828608. Its totient is φ = 4270143744000.

The previous prime is 21324014413991. The next prime is 21324014414047. The reversal of 21324014414010 is 1041441042312.

21324014414010 is a `hidden beast` number, since 2 + 1 + 3 + 240 + 1 + 4 + 414 + 0 + 1 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 465943389 + ... + 465989151.

Almost surely, 2^{21324014414010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21324014414010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37050018914304).

21324014414010 is an abundant number, since it is smaller than the sum of its proper divisors (52776023414598).

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

21324014414010 is a wasteful number, since it uses less digits than its factorization.

21324014414010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46072 (or 46063 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21324014414010 its reverse (1041441042312), we get a palindrome (22365455456322).

The spelling of 21324014414010 in words is "twenty-one trillion, three hundred twenty-four billion, fourteen million, four hundred fourteen thousand, ten".