10344040323552 has 192 divisors, whose sum is σ = 32519116042560. Its totient is φ = 3180017221632.

The previous prime is 10344040323511. The next prime is 10344040323581. The reversal of 10344040323552 is 25532304044301.

10344040323552 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 40 + 40 + 3 + 23 + 552 = 666.

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 31 ways as a sum of consecutive naturals, for example, 12551128 + ... + 13349864.

It is an arithmetic number, because the mean of its divisors is an integer number (169370396055).

Almost surely, 2^{10344040323552} is an apocalyptic number.

10344040323552 is a gapful number since it is divisible by the number (12) 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 10344040323552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16259558021280).

10344040323552 is an abundant number, since it is smaller than the sum of its proper divisors (22175075719008).

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

10344040323552 is a wasteful number, since it uses less digits than its factorization.

10344040323552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799922 (or 799908 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 10344040323552 its reverse (25532304044301), we get a palindrome (35876344367853).

The spelling of 10344040323552 in words is "ten trillion, three hundred forty-four billion, forty million, three hundred twenty-three thousand, five hundred fifty-two".