4090890730401 has 24 divisors (see below), whose sum is σ = 5998436843360. Its totient is φ = 2686027646016.

The previous prime is 4090890730351. The next prime is 4090890730403. The reversal of 4090890730401 is 1040370980904.

4090890730401 is a `hidden beast` number, since 4 + 0 + 90 + 8 + 90 + 73 + 0 + 401 = 666.

It is not a de Polignac number, because 4090890730401 - 2³⁴ = 4073710861217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4090890730403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2419710 + ... + 3746568.

Almost surely, 2^{4090890730401} is an apocalyptic number.

It is an amenable number.

4090890730401 is a deficient number, since it is larger than the sum of its proper divisors (1907546112959).

4090890730401 is a wasteful number, since it uses less digits than its factorization.

4090890730401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332045 (or 1332042 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 4090890730401 in words is "four trillion, ninety billion, eight hundred ninety million, seven hundred thirty thousand, four hundred one".