4090294665216 has 512 divisors, whose sum is σ = 12441793536000. Its totient is φ = 1327613607936.

The previous prime is 4090294665139. The next prime is 4090294665217. The reversal of 4090294665216 is 6125664920904.

4090294665216 is a `hidden beast` number, since 4 + 0 + 90 + 29 + 4 + 6 + 6 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4090294665217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6629326540 + ... + 6629327156.

It is an arithmetic number, because the mean of its divisors is an integer number (24300378000).

Almost surely, 2^{4090294665216} 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 4090294665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220896768000).

4090294665216 is an abundant number, since it is smaller than the sum of its proper divisors (8351498870784).

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

4090294665216 is an equidigital number, since it uses as much as digits as its factorization.

4090294665216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 4090294665216 in words is "four trillion, ninety billion, two hundred ninety-four million, six hundred sixty-five thousand, two hundred sixteen".