10408080401 has 8 divisors (see below), whose sum is σ = 10534177704. Its totient is φ = 10282435200.

The previous prime is 10408080373. The next prime is 10408080407.

10408080401 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 102020²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 9001455376 + 1406625025 = 94876^2 + 37505^2 .

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 10408080401 - 2¹⁰ = 10408079377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10408080407) 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, 66590 + ... + 158903.

It is an arithmetic number, because the mean of its divisors is an integer number (1316772213).

Almost surely, 2^10408080401 is an apocalyptic number.

It is an amenable number.

10408080401 is a deficient number, since it is larger than the sum of its proper divisors (126097303).

10408080401 is a wasteful number, since it uses less digits than its factorization.

10408080401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226051.

The product of its (nonzero) digits is 1024, while the sum is 26.

It can be divided in two parts, 104080 and 80401, that added together give a palindrome (184481).

The spelling of 10408080401 in words is "ten billion, four hundred eight million, eighty thousand, four hundred one".