406093824001 has 2 divisors, whose sum is σ = 406093824002. Its totient is φ = 406093824000.

The previous prime is 406093823977. The next prime is 406093824013. The reversal of 406093824001 is 100428390604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403104359025 + 2989464976 = 634905^2 + 54676^2 .

It is a cyclic number.

It is not a de Polignac number, because 406093824001 - 2¹⁹ = 406093299713 is a prime.

It is not a weakly prime, because it can be changed into another prime (406093824091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203046912000 + 203046912001.

It is an arithmetic number, because the mean of its divisors is an integer number (203046912001).

Almost surely, 2^406093824001 is an apocalyptic number.

It is an amenable number.

406093824001 is a deficient number, since it is larger than the sum of its proper divisors (1).

406093824001 is an equidigital number, since it uses as much as digits as its factorization.

406093824001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 406093824001 in words is "four hundred six billion, ninety-three million, eight hundred twenty-four thousand, one".