412401532004401 has 8 divisors (see below), whose sum is σ = 412420004658504. Its totient is φ = 412383059850240.

The previous prime is 412401532004393. The next prime is 412401532004443. The reversal of 412401532004401 is 104400235104214.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 283731621592225 + 128669910412176 = 16844335^2 + 11343276^2 .

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 412401532004401 - 2³ = 412401532004393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (412401532005401) 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, 3003124821 + ... + 3003262141.

It is an arithmetic number, because the mean of its divisors is an integer number (51552500582313).

Almost surely, 2^{412401532004401} is an apocalyptic number.

It is an amenable number.

412401532004401 is a deficient number, since it is larger than the sum of its proper divisors (18472654103).

412401532004401 is a wasteful number, since it uses less digits than its factorization.

412401532004401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249971.

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 412401532004401 its reverse (104400235104214), we get a palindrome (516801767108615).

The spelling of 412401532004401 in words is "four hundred twelve trillion, four hundred one billion, five hundred thirty-two million, four thousand, four hundred one".