10404101344 has 96 divisors (see below), whose sum is σ = 25446306816. Its totient is φ = 4077319680.

The previous prime is 10404101341. The next prime is 10404101399. The reversal of 10404101344 is 44310140401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10404101341) 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, 294889 + ... + 328279.

It is an arithmetic number, because the mean of its divisors is an integer number (265065696).

Almost surely, 2^10404101344 is an apocalyptic number.

10404101344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723153408).

10404101344 is an abundant number, since it is smaller than the sum of its proper divisors (15042205472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10404101344 is a wasteful number, since it uses less digits than its factorization.

10404101344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33528 (or 33520 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10404101344 its reverse (44310140401), we get a palindrome (54714241745).

The spelling of 10404101344 in words is "ten billion, four hundred four million, one hundred one thousand, three hundred forty-four".