21013440033040 has 480 divisors, whose sum is σ = 62289104492160. Its totient is φ = 6532731813888.

The previous prime is 21013440033037. The next prime is 21013440033163. The reversal of 21013440033040 is 4033004431012.

It is a junction number, because it is equal to n+sod(n) for n = 21013440032996 and 21013440033014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7417379464 + ... + 7417382296.

It is an arithmetic number, because the mean of its divisors is an integer number (129768967692).

Almost surely, 2^{21013440033040} is an apocalyptic number.

21013440033040 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 21013440033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31144552246080).

21013440033040 is an abundant number, since it is smaller than the sum of its proper divisors (41275664459120).

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

21013440033040 is a wasteful number, since it uses less digits than its factorization.

21013440033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5399 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 21013440033040 its reverse (4033004431012), we get a palindrome (25046444464052).

The spelling of 21013440033040 in words is "twenty-one trillion, thirteen billion, four hundred forty million, thirty-three thousand, forty".