4115065009464 has 192 divisors, whose sum is σ = 11285554119840. Its totient is φ = 1354510909440.

The previous prime is 4115065009459. The next prime is 4115065009477. The reversal of 4115065009464 is 4649005605114.

4115065009464 is a `hidden beast` number, since 4 + 1 + 1 + 50 + 6 + 500 + 94 + 6 + 4 = 666.

It is a super-2 number, since 2×4115065009464² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1977444904 + ... + 1977446984.

Almost surely, 2^{4115065009464} 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 4115065009464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642777059920).

4115065009464 is an abundant number, since it is smaller than the sum of its proper divisors (7170489110376).

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

4115065009464 is a wasteful number, since it uses less digits than its factorization.

4115065009464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 4115065009464 in words is "four trillion, one hundred fifteen billion, sixty-five million, nine thousand, four hundred sixty-four".