6941222400 has 960 divisors, whose sum is σ = 29226700800. Its totient is φ = 1445068800.

The previous prime is 6941222399. The next prime is 6941222437. The reversal of 6941222400 is 42221496.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223910385 + ... + 223910415.

It is an arithmetic number, because the mean of its divisors is an integer number (30444480).

Almost surely, 2^6941222400 is an apocalyptic number.

6941222400 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 6941222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14613350400).

6941222400 is an abundant number, since it is smaller than the sum of its proper divisors (22285478400).

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

6941222400 is a wasteful number, since it uses less digits than its factorization.

6941222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6941222400 is about 83313.9988237271. The cubic root of 6941222400 is about 1907.5619596629.

Adding to 6941222400 its reverse (42221496), we get a palindrome (6983443896).

The spelling of 6941222400 in words is "six billion, nine hundred forty-one million, two hundred twenty-two thousand, four hundred".