10403304340401 has 64 divisors (see below), whose sum is σ = 17687224074240. Its totient is φ = 5920060608000.

The previous prime is 10403304340337. The next prime is 10403304340417. The reversal of 10403304340401 is 10404340330401.

10403304340401 is a `hidden beast` number, since 10 + 4 + 0 + 3 + 304 + 340 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 10403304340401 - 2⁶ = 10403304340337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10403304340301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350701696 + ... + 350731358.

It is an arithmetic number, because the mean of its divisors is an integer number (276362876160).

Almost surely, 2^{10403304340401} is an apocalyptic number.

It is an amenable number.

10403304340401 is a deficient number, since it is larger than the sum of its proper divisors (7283919733839).

10403304340401 is a wasteful number, since it uses less digits than its factorization.

10403304340401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37323 (or 37317 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10403304340401 its reverse (10404340330401), we get a palindrome (20807644670802).

The spelling of 10403304340401 in words is "ten trillion, four hundred three billion, three hundred four million, three hundred forty thousand, four hundred one".