382400041 has 2 divisors, whose sum is σ = 382400042. Its totient is φ = 382400040.

The previous prime is 382399999. The next prime is 382400059. The reversal of 382400041 is 140004283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210685225 + 171714816 = 14515^2 + 13104^2 .

It is a cyclic number.

It is not a de Polignac number, because 382400041 - 2²³ = 374011433 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 382399985 and 382400021.

It is not a weakly prime, because it can be changed into another prime (382400741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191200020 + 191200021.

It is an arithmetic number, because the mean of its divisors is an integer number (191200021).

Almost surely, 2^382400041 is an apocalyptic number.

It is an amenable number.

382400041 is a deficient number, since it is larger than the sum of its proper divisors (1).

382400041 is an equidigital number, since it uses as much as digits as its factorization.

382400041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 382400041 is about 19555.0515468510. The cubic root of 382400041 is about 725.8373462794.

The spelling of 382400041 in words is "three hundred eighty-two million, four hundred thousand, forty-one".