6941339349120 has 1280 divisors, whose sum is σ = 29621570140800. Its totient is φ = 1529089228800.

The previous prime is 6941339349097. The next prime is 6941339349179. The reversal of 6941339349120 is 219439331496.

6941339349120 is a `hidden beast` number, since 6 + 9 + 41 + 3 + 3 + 93 + 491 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 281115975 + ... + 281140665.

Almost surely, 2^{6941339349120} is an apocalyptic number.

6941339349120 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 6941339349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810785070400).

6941339349120 is an abundant number, since it is smaller than the sum of its proper divisors (22680230791680).

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

6941339349120 is a wasteful number, since it uses less digits than its factorization.

6941339349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24779 (or 24758 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 6941339349120 in words is "six trillion, nine hundred forty-one billion, three hundred thirty-nine million, three hundred forty-nine thousand, one hundred twenty".