10344351443040 has 768 divisors, whose sum is σ = 37529731814400. Its totient is φ = 2659742908416.

The previous prime is 10344351443029. The next prime is 10344351443059. The reversal of 10344351443040 is 4034415344301.

10344351443040 is a `hidden beast` number, since 1 + 0 + 3 + 443 + 5 + 144 + 30 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10344351442986 and 10344351443004.

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 127 ways as a sum of consecutive naturals, for example, 4388777542 + ... + 4388779898.

It is an arithmetic number, because the mean of its divisors is an integer number (48866838300).

Almost surely, 2^{10344351443040} is an apocalyptic number.

10344351443040 is a gapful number since it is divisible by the number (10) 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 10344351443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18764865907200).

10344351443040 is an abundant number, since it is smaller than the sum of its proper divisors (27185380371360).

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

10344351443040 is a wasteful number, since it uses less digits than its factorization.

10344351443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 10344351443040 its reverse (4034415344301), we get a palindrome (14378766787341).

The spelling of 10344351443040 in words is "ten trillion, three hundred forty-four billion, three hundred fifty-one million, four hundred forty-three thousand, forty".