6941440800 has 432 divisors, whose sum is σ = 29015767872. Its totient is φ = 1586304000.

The previous prime is 6941440769. The next prime is 6941440823. The reversal of 6941440800 is 80441496.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1358250 + ... + 1363350.

Almost surely, 2^6941440800 is an apocalyptic number.

6941440800 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 6941440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14507883936).

6941440800 is an abundant number, since it is smaller than the sum of its proper divisors (22074327072).

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

6941440800 is a wasteful number, since it uses less digits than its factorization.

6941440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6941440800 is about 83315.3095175190. The cubic root of 6941440800 is about 1907.5819660892.

The spelling of 6941440800 in words is "six billion, nine hundred forty-one million, four hundred forty thousand, eight hundred".