21414246305280 has 640 divisors, whose sum is σ = 71899946680320. Its totient is φ = 5430682091520.

The previous prime is 21414246305237. The next prime is 21414246305357. The reversal of 21414246305280 is 8250364241412.

It is a tau number, because it is divible by the number of its divisors (640).

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, 3235265811 + ... + 3235272429.

It is an arithmetic number, because the mean of its divisors is an integer number (112343666688).

Almost surely, 2^{21414246305280} is an apocalyptic number.

21414246305280 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 21414246305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35949973340160).

21414246305280 is an abundant number, since it is smaller than the sum of its proper divisors (50485700375040).

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

21414246305280 is a wasteful number, since it uses less digits than its factorization.

21414246305280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6910 (or 6894 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 21414246305280 in words is "twenty-one trillion, four hundred fourteen billion, two hundred forty-six million, three hundred five thousand, two hundred eighty".