4096304784000 has 3840 divisors, whose sum is σ = 19271695322880. Its totient is φ = 848517120000.

The previous prime is 4096304783999. The next prime is 4096304784007. The reversal of 4096304784000 is 4874036904.

4096304784000 is a `hidden beast` number, since 4 + 0 + 9 + 630 + 4 + 7 + 8 + 4 + 0 + 0 + 0 = 666.

4096304784000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4096304784007) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 132138863985 + ... + 132138864015.

It is an arithmetic number, because the mean of its divisors is an integer number (5018670657).

Almost surely, 2^{4096304784000} is an apocalyptic number.

4096304784000 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 4096304784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9635847661440).

4096304784000 is an abundant number, since it is smaller than the sum of its proper divisors (15175390538880).

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

4096304784000 is a wasteful number, since it uses less digits than its factorization.

4096304784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4096304784000 in words is "four trillion, ninety-six billion, three hundred four million, seven hundred eighty-four thousand".