10401344004 has 72 divisors (see below), whose sum is σ = 25623666432. Its totient is φ = 3283332800.

The previous prime is 10401343991. The next prime is 10401344017. The reversal of 10401344004 is 40044310401.

It is an interprime number because it is at equal distance from previous prime (10401343991) and next prime (10401344017).

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 23 ways as a sum of consecutive naturals, for example, 633037 + ... + 649259.

It is an arithmetic number, because the mean of its divisors is an integer number (355884256).

Almost surely, 2^10401344004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10401344004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12811833216).

10401344004 is an abundant number, since it is smaller than the sum of its proper divisors (15222322428).

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

10401344004 is a wasteful number, since it uses less digits than its factorization.

10401344004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16377 (or 16352 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10401344004 its reverse (40044310401), we get a palindrome (50445654405).

The spelling of 10401344004 in words is "ten billion, four hundred one million, three hundred forty-four thousand, four".