21224546410340 has 288 divisors, whose sum is σ = 58354566837504. Its totient is φ = 6313348915200.

The previous prime is 21224546410313. The next prime is 21224546410343. The reversal of 21224546410340 is 4301464542212.

It is a junction number, because it is equal to n+sod(n) for n = 21224546410294 and 21224546410303.

It is not an unprimeable number, because it can be changed into a prime (21224546410343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385515815 + ... + 385570865.

Almost surely, 2^{21224546410340} is an apocalyptic number.

21224546410340 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 21224546410340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29177283418752).

21224546410340 is an abundant number, since it is smaller than the sum of its proper divisors (37130020427164).

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

21224546410340 is a wasteful number, since it uses less digits than its factorization.

21224546410340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55847 (or 55828 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 21224546410340 in words is "twenty-one trillion, two hundred twenty-four billion, five hundred forty-six million, four hundred ten thousand, three hundred forty".