4094553824640 has 768 divisors, whose sum is σ = 14791795200000. Its totient is φ = 1042526453760.

The previous prime is 4094553824633. The next prime is 4094553824689. The reversal of 4094553824640 is 464283554904.

4094553824640 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 553 + 8 + 2 + 46 + 40 = 666.

4094553824640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4094553824640² (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 95 ways as a sum of consecutive naturals, for example, 4939147746 + ... + 4939148574.

It is an arithmetic number, because the mean of its divisors is an integer number (19260150000).

Almost surely, 2^{4094553824640} is an apocalyptic number.

4094553824640 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 4094553824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395897600000).

4094553824640 is an abundant number, since it is smaller than the sum of its proper divisors (10697241375360).

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

4094553824640 is a wasteful number, since it uses less digits than its factorization.

4094553824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 4094553824640 in words is "four trillion, ninety-four billion, five hundred fifty-three million, eight hundred twenty-four thousand, six hundred forty".