10223410432401 has 96 divisors (see below), whose sum is σ = 15456712916736. Its totient is φ = 6506196480000.

The previous prime is 10223410432387. The next prime is 10223410432427. The reversal of 10223410432401 is 10423401432201.

10223410432401 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 410 + 4 + 3 + 240 + 1 = 666.

It is not a de Polignac number, because 10223410432401 - 2⁹ = 10223410431889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10223410434401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2004194751 + ... + 2004199851.

It is an arithmetic number, because the mean of its divisors is an integer number (161007426216).

Almost surely, 2^{10223410432401} is an apocalyptic number.

It is an amenable number.

10223410432401 is a deficient number, since it is larger than the sum of its proper divisors (5233302484335).

10223410432401 is a wasteful number, since it uses less digits than its factorization.

10223410432401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5780 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10223410432401 its reverse (10423401432201), we get a palindrome (20646811864602).

The spelling of 10223410432401 in words is "ten trillion, two hundred twenty-three billion, four hundred ten million, four hundred thirty-two thousand, four hundred one".