21014045513040 has 320 divisors, whose sum is σ = 67393154062080. Its totient is φ = 5412993761280.

The previous prime is 21014045513029. The next prime is 21014045513053. The reversal of 21014045513040 is 4031554041012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21014045512989 and 21014045513007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2418461016 + ... + 2418469704.

It is an arithmetic number, because the mean of its divisors is an integer number (210603606444).

Almost surely, 2^{21014045513040} is an apocalyptic number.

21014045513040 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 21014045513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33696577031040).

21014045513040 is an abundant number, since it is smaller than the sum of its proper divisors (46379108549040).

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

21014045513040 is a wasteful number, since it uses less digits than its factorization.

21014045513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11150 (or 11144 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 21014045513040 its reverse (4031554041012), we get a palindrome (25045599554052).

The spelling of 21014045513040 in words is "twenty-one trillion, fourteen billion, forty-five million, five hundred thirteen thousand, forty".