21040440333000 has 256 divisors, whose sum is σ = 71633382912000. Its totient is φ = 5099332832000.

The previous prime is 21040440332963. The next prime is 21040440333001. The reversal of 21040440333000 is 33304404012.

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

It is not an unprimeable number, because it can be changed into a prime (21040440333001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 124622641 + ... + 124791359.

It is an arithmetic number, because the mean of its divisors is an integer number (279817902000).

Almost surely, 2^{21040440333000} is an apocalyptic number.

21040440333000 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 21040440333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35816691456000).

21040440333000 is an abundant number, since it is smaller than the sum of its proper divisors (50592942579000).

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

21040440333000 is a wasteful number, since it uses less digits than its factorization.

21040440333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172533 (or 172519 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 21040440333000 its reverse (33304404012), we get a palindrome (21073744737012).

The spelling of 21040440333000 in words is "twenty-one trillion, forty billion, four hundred forty million, three hundred thirty-three thousand".