4061426646312 has 432 divisors, whose sum is σ = 13083300397440. Its totient is φ = 1134858501504.

The previous prime is 4061426646307. The next prime is 4061426646337. The reversal of 4061426646312 is 2136466241604.

4061426646312 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 4 + 2 + 6 + 6 + 4 + 631 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2738655123 + ... + 2738656605.

Almost surely, 2^{4061426646312} is an apocalyptic number.

4061426646312 is a gapful number since it is divisible by the number (42) 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 4061426646312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541650198720).

4061426646312 is an abundant number, since it is smaller than the sum of its proper divisors (9021873751128).

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

4061426646312 is a wasteful number, since it uses less digits than its factorization.

4061426646312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4061426646312 in words is "four trillion, sixty-one billion, four hundred twenty-six million, six hundred forty-six thousand, three hundred twelve".