34400412401 has 2 divisors, whose sum is σ = 34400412402. Its totient is φ = 34400412400.

The previous prime is 34400412391. The next prime is 34400412439. The reversal of 34400412401 is 10421400443.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26659052176 + 7741360225 = 163276^2 + 87985^2 .

It is a cyclic number.

It is not a de Polignac number, because 34400412401 - 2⁶ = 34400412337 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34400412481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17200206200 + 17200206201.

It is an arithmetic number, because the mean of its divisors is an integer number (17200206201).

Almost surely, 2^34400412401 is an apocalyptic number.

It is an amenable number.

34400412401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34400412401 is an equidigital number, since it uses as much as digits as its factorization.

34400412401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 34400412401 its reverse (10421400443), we get a palindrome (44821812844).

The spelling of 34400412401 in words is "thirty-four billion, four hundred million, four hundred twelve thousand, four hundred one".