34332410000401 has 8 divisors (see below), whose sum is σ = 34496559737640. Its totient is φ = 34168549515648.

The previous prime is 34332410000377. The next prime is 34332410000501. The reversal of 34332410000401 is 10400001423343.

It can be written as a sum of positive squares in 4 ways, for example, as 2160088636176 + 32172321364225 = 1469724^2 + 5672065^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34332410000401 - 2¹⁵ = 34332409967633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34332410000501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72075166 + ... + 72549943.

It is an arithmetic number, because the mean of its divisors is an integer number (4312069967205).

Almost surely, 2^{34332410000401} is an apocalyptic number.

It is an amenable number.

34332410000401 is a deficient number, since it is larger than the sum of its proper divisors (164149737239).

34332410000401 is a wasteful number, since it uses less digits than its factorization.

34332410000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144626243.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34332410000401 its reverse (10400001423343), we get a palindrome (44732411423744).

The spelling of 34332410000401 in words is "thirty-four trillion, three hundred thirty-two billion, four hundred ten million, four hundred one", and thus it is an aban number.