10400034401 has 2 divisors, whose sum is σ = 10400034402. Its totient is φ = 10400034400.

The previous prime is 10400034383. The next prime is 10400034409. The reversal of 10400034401 is 10443000401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5694211600 + 4705822801 = 75460^2 + 68599^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400034401 - 2¹⁰ = 10400033377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10400034401.

It is not a weakly prime, because it can be changed into another prime (10400034409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200017200 + 5200017201.

It is an arithmetic number, because the mean of its divisors is an integer number (5200017201).

Almost surely, 2^10400034401 is an apocalyptic number.

It is an amenable number.

10400034401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400034401 is an equidigital number, since it uses as much as digits as its factorization.

10400034401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10400034401 its reverse (10443000401), we get a palindrome (20843034802).

The spelling of 10400034401 in words is "ten billion, four hundred million, thirty-four thousand, four hundred one".