4061795676840 has 1280 divisors, whose sum is σ = 15684548140800. Its totient is φ = 934071091200.

The previous prime is 4061795676797. The next prime is 4061795676847. The reversal of 4061795676840 is 486765971604.

It is a happy number.

4061795676840 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 7 + 9 + 567 + 68 + 4 + 0 = 666.

It is a super-2 number, since 2×4061795676840² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4061795676847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13862783734 + ... + 13862784026.

It is an arithmetic number, because the mean of its divisors is an integer number (12253553235).

Almost surely, 2^{4061795676840} is an apocalyptic number.

4061795676840 is a gapful number since it is divisible by the number (40) 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 4061795676840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842274070400).

4061795676840 is an abundant number, since it is smaller than the sum of its proper divisors (11622752463960).

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

4061795676840 is a wasteful number, since it uses less digits than its factorization.

4061795676840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 4061795676840 in words is "four trillion, sixty-one billion, seven hundred ninety-five million, six hundred seventy-six thousand, eight hundred forty".