10344412324404 has 288 divisors, whose sum is σ = 29787137976960. Its totient is φ = 3007355904000.

The previous prime is 10344412324397. The next prime is 10344412324439. The reversal of 10344412324404 is 40442321444301.

10344412324404 is a `hidden beast` number, since 1 + 0 + 344 + 41 + 232 + 4 + 40 + 4 = 666.

It is a super-2 number, since 2×10344412324404² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97424464 + ... + 97530584.

It is an arithmetic number, because the mean of its divisors is an integer number (103427562420).

Almost surely, 2^{10344412324404} 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 10344412324404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14893568988480).

10344412324404 is an abundant number, since it is smaller than the sum of its proper divisors (19442725652556).

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

10344412324404 is a wasteful number, since it uses less digits than its factorization.

10344412324404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106351 (or 106346 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 10344412324404 its reverse (40442321444301), we get a palindrome (50786733768705).

The spelling of 10344412324404 in words is "ten trillion, three hundred forty-four billion, four hundred twelve million, three hundred twenty-four thousand, four hundred four".