408454429743401 has 2 divisors, whose sum is σ = 408454429743402. Its totient is φ = 408454429743400.

The previous prime is 408454429743323. The next prime is 408454429743403. The reversal of 408454429743401 is 104347924454804.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 371445445326400 + 37008984417001 = 19272920^2 + 6083501^2 .

It is a cyclic number.

It is not a de Polignac number, because 408454429743401 - 2²² = 408454425549097 is a prime.

Together with 408454429743403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (408454429743403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204227214871700 + 204227214871701.

It is an arithmetic number, because the mean of its divisors is an integer number (204227214871701).

Almost surely, 2^{408454429743401} is an apocalyptic number.

It is an amenable number.

408454429743401 is a deficient number, since it is larger than the sum of its proper divisors (1).

408454429743401 is an equidigital number, since it uses as much as digits as its factorization.

408454429743401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61931520, while the sum is 59.

The spelling of 408454429743401 in words is "four hundred eight trillion, four hundred fifty-four billion, four hundred twenty-nine million, seven hundred forty-three thousand, four hundred one".