21741416620000 has 2880 divisors, whose sum is σ = 76765371217920. Its totient is φ = 5960908800000.

The previous prime is 21741416619977. The next prime is 21741416620013. The reversal of 21741416620000 is 2661414712.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 244285579956 + ... + 244285580044.

It is an arithmetic number, because the mean of its divisors is an integer number (26654642784).

Almost surely, 2^{21741416620000} is an apocalyptic number.

21741416620000 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 21741416620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38382685608960).

21741416620000 is an abundant number, since it is smaller than the sum of its proper divisors (55023954597920).

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

21741416620000 is a wasteful number, since it uses less digits than its factorization.

21741416620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 21741416620000 in words is "twenty-one trillion, seven hundred forty-one billion, four hundred sixteen million, six hundred twenty thousand".