4084365094656 has 576 divisors, whose sum is σ = 14408995184640. Its totient is φ = 995585310720.

The previous prime is 4084365094639. The next prime is 4084365094697. The reversal of 4084365094656 is 6564905634804.

It is a self number, because there is not a number n which added to its sum of digits gives 4084365094656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72058455 + ... + 72115113.

It is an arithmetic number, because the mean of its divisors is an integer number (25015616640).

Almost surely, 2^{4084365094656} is an apocalyptic number.

4084365094656 is a gapful number since it is divisible by the number (46) 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 4084365094656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7204497592320).

4084365094656 is an abundant number, since it is smaller than the sum of its proper divisors (10324630089984).

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

4084365094656 is a wasteful number, since it uses less digits than its factorization.

4084365094656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56772 (or 56758 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 60.

The spelling of 4084365094656 in words is "four trillion, eighty-four billion, three hundred sixty-five million, ninety-four thousand, six hundred fifty-six".