6216310449440 has 384 divisors, whose sum is σ = 18478292313600. Its totient is φ = 1963702185984.

The previous prime is 6216310449421. The next prime is 6216310449451. The reversal of 6216310449440 is 449440136126.

It is a junction number, because it is equal to n+sod(n) for n = 6216310449391 and 6216310449400.

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, 397378259 + ... + 397393901.

It is an arithmetic number, because the mean of its divisors is an integer number (48120552900).

Almost surely, 2^{6216310449440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6216310449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9239146156800).

6216310449440 is an abundant number, since it is smaller than the sum of its proper divisors (12261981864160).

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

6216310449440 is a wasteful number, since it uses less digits than its factorization.

6216310449440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16249 (or 16227 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 6216310449440 in words is "six trillion, two hundred sixteen billion, three hundred ten million, four hundred forty-nine thousand, four hundred forty".