10035550400401 has 16 divisors (see below), whose sum is σ = 11170466496000. Its totient is φ = 8976267676800.

The previous prime is 10035550400389. The next prime is 10035550400531. The reversal of 10035550400401 is 10400405553001.

It is a cyclic number.

It is not a de Polignac number, because 10035550400401 - 2⁷ = 10035550400273 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 10035550400401.

It is not an unprimeable number, because it can be changed into a prime (10035550440401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207759826 + ... + 207808123.

It is an arithmetic number, because the mean of its divisors is an integer number (698154156000).

Almost surely, 2^{10035550400401} is an apocalyptic number.

It is an amenable number.

10035550400401 is a deficient number, since it is larger than the sum of its proper divisors (1134916095599).

10035550400401 is a wasteful number, since it uses less digits than its factorization.

10035550400401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415568040.

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 10035550400401 its reverse (10400405553001), we get a palindrome (20435955953402).

The spelling of 10035550400401 in words is "ten trillion, thirty-five billion, five hundred fifty million, four hundred thousand, four hundred one".