10400444404337 has 8 divisors (see below), whose sum is σ = 11200861307496. Its totient is φ = 9600082175232.

The previous prime is 10400444404331. The next prime is 10400444404349. The reversal of 10400444404337 is 73340444400401.

10400444404337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1180664789056 + 9219779615281 = 1086584^2 + 3036409^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10400444404337 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10400444404337.

It is not an unprimeable number, because it can be changed into a prime (10400444404331) 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, 13272998 + ... + 14034719.

It is an arithmetic number, because the mean of its divisors is an integer number (1400107663437).

Almost surely, 2^{10400444404337} is an apocalyptic number.

It is an amenable number.

10400444404337 is a deficient number, since it is larger than the sum of its proper divisors (800416903159).

10400444404337 is a wasteful number, since it uses less digits than its factorization.

10400444404337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27337027.

The product of its (nonzero) digits is 258048, while the sum is 38.

Adding to 10400444404337 its reverse (73340444400401), we get a palindrome (83740888804738).

The spelling of 10400444404337 in words is "ten trillion, four hundred billion, four hundred forty-four million, four hundred four thousand, three hundred thirty-seven".