5671294823040 has 1024 divisors, whose sum is σ = 23183069184000. Its totient is φ = 1145005424640.

The previous prime is 5671294823039. The next prime is 5671294823041. The reversal of 5671294823040 is 403284921765.

It is an interprime number because it is at equal distance from previous prime (5671294823039) and next prime (5671294823041).

It is not an unprimeable number, because it can be changed into a prime (5671294823041) 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 127 ways as a sum of consecutive naturals, for example, 1265064639 + ... + 1265069121.

It is an arithmetic number, because the mean of its divisors is an integer number (22639716000).

It is a 1-persistent number, because it is pandigital, but 2⋅5671294823040 = 11342589646080 is not.

Almost surely, 2^{5671294823040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5671294823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11591534592000).

5671294823040 is an abundant number, since it is smaller than the sum of its proper divisors (17511774360960).

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

5671294823040 is a wasteful number, since it uses less digits than its factorization.

5671294823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 5671294823040 in words is "five trillion, six hundred seventy-one billion, two hundred ninety-four million, eight hundred twenty-three thousand, forty".