4091415515946 has 720 divisors, whose sum is σ = 11433365174880. Its totient is φ = 1083826344960.

The previous prime is 4091415515839. The next prime is 4091415515951. The reversal of 4091415515946 is 6495155141904.

4091415515946 is a `hidden beast` number, since 4 + 0 + 9 + 1 + 41 + 5 + 5 + 1 + 594 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4091415515892 and 4091415515901.

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 10968942216 + ... + 10968942588.

It is an arithmetic number, because the mean of its divisors is an integer number (15879673854).

Almost surely, 2^{4091415515946} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4091415515946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716682587440).

4091415515946 is an abundant number, since it is smaller than the sum of its proper divisors (7341949658934).

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

4091415515946 is a wasteful number, since it uses less digits than its factorization.

4091415515946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 4091415515946 in words is "four trillion, ninety-one billion, four hundred fifteen million, five hundred fifteen thousand, nine hundred forty-six".