6941341440 has 864 divisors, whose sum is σ = 29227564800. Its totient is φ = 1542758400.

The previous prime is 6941341439. The next prime is 6941341447. The reversal of 6941341440 is 441431496.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×6941341440² = 96364441973322547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6941341395 and 6941341404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6941341447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223914225 + ... + 223914255.

It is an arithmetic number, because the mean of its divisors is an integer number (33828200).

Almost surely, 2^6941341440 is an apocalyptic number.

6941341440 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 6941341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14613782400).

6941341440 is an abundant number, since it is smaller than the sum of its proper divisors (22286223360).

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

6941341440 is a wasteful number, since it uses less digits than its factorization.

6941341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6941341440 is about 83314.7132264164. The cubic root of 6941341440 is about 1907.5728643165.

The spelling of 6941341440 in words is "six billion, nine hundred forty-one million, three hundred forty-one thousand, four hundred forty".