10401344310401 has 8 divisors (see below), whose sum is σ = 11357717387808. Its totient is φ = 9446770620000.

The previous prime is 10401344310397. The next prime is 10401344310457.

It is a happy number.

10401344310401 is nontrivially palindromic in base 10.

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 10401344310401 - 2² = 10401344310397 is a prime.

It is a super-2 number, since 2×10401344310401² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10401344310101) 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, 449834660 + ... + 449857781.

It is an arithmetic number, because the mean of its divisors is an integer number (1419714673476).

Almost surely, 2^{10401344310401} is an apocalyptic number.

10401344310401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10401344310401 is a deficient number, since it is larger than the sum of its proper divisors (956373077407).

10401344310401 is a wasteful number, since it uses less digits than its factorization.

10401344310401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899693503.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 1040134 and 4310401, that added together give a palindrome (5350535).

The spelling of 10401344310401 in words is "ten trillion, four hundred one billion, three hundred forty-four million, three hundred ten thousand, four hundred one".