22400340013001 has 8 divisors (see below), whose sum is σ = 22455692956200. Its totient is φ = 22344989921280.

The previous prime is 22400340012997. The next prime is 22400340013031. The reversal of 22400340013001 is 10031004300422.

It can be written as a sum of positive squares in 4 ways, for example, as 7295076883600 + 15105263129401 = 2700940^2 + 3886549^2 .

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 22400340013001 - 2² = 22400340012997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22400340013031) 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, 15471185 + ... + 16856993.

It is an arithmetic number, because the mean of its divisors is an integer number (2806961619525).

Almost surely, 2^{22400340013001} is an apocalyptic number.

It is an amenable number.

22400340013001 is a deficient number, since it is larger than the sum of its proper divisors (55352943199).

22400340013001 is a wasteful number, since it uses less digits than its factorization.

22400340013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425739.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22400340013001 its reverse (10031004300422), we get a palindrome (32431344313423).

The spelling of 22400340013001 in words is "twenty-two trillion, four hundred billion, three hundred forty million, thirteen thousand, one".