10401204340544 has 28 divisors (see below), whose sum is σ = 20640068358084. Its totient is φ = 5200557195264.

The previous prime is 10401204340489. The next prime is 10401204340559. The reversal of 10401204340544 is 44504340210401.

It can be written as a sum of positive squares in 2 ways, for example, as 7972942849600 + 2428261490944 = 2823640^2 + 1558288^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10401204340544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7497344 + ... + 8775680.

It is an arithmetic number, because the mean of its divisors is an integer number (737145298503).

Almost surely, 2^{10401204340544} is an apocalyptic number.

It is an amenable number.

10401204340544 is a deficient number, since it is larger than the sum of its proper divisors (10238864017540).

10401204340544 is a wasteful number, since it uses less digits than its factorization.

10401204340544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405482 (or 1405472 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 10401204340544 its reverse (44504340210401), we get a palindrome (54905544550945).

The spelling of 10401204340544 in words is "ten trillion, four hundred one billion, two hundred four million, three hundred forty thousand, five hundred forty-four".