6220381440 has 432 divisors, whose sum is σ = 24897293568. Its totient is φ = 1311916032.

The previous prime is 6220381439. The next prime is 6220381451. The reversal of 6220381440 is 441830226.

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 = 6220381398 and 6220381407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2444809 + ... + 2447351.

It is an arithmetic number, because the mean of its divisors is an integer number (57632624).

Almost surely, 2^6220381440 is an apocalyptic number.

6220381440 is a gapful number since it is divisible by the number (60) 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 6220381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12448646784).

6220381440 is an abundant number, since it is smaller than the sum of its proper divisors (18676912128).

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

6220381440 is a wasteful number, since it uses less digits than its factorization.

6220381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 6220381440 is about 78869.3948246086. The cubic root of 6220381440 is about 1839.1013885586.

The spelling of 6220381440 in words is "six billion, two hundred twenty million, three hundred eighty-one thousand, four hundred forty".