10041344113440 has 96 divisors (see below), whose sum is σ = 32650564133376. Its totient is φ = 2591314606080.

The previous prime is 10041344113391. The next prime is 10041344113453. The reversal of 10041344113440 is 4431144314001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10041344113440³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10041344113398 and 10041344113407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337395877 + ... + 337425636.

It is an arithmetic number, because the mean of its divisors is an integer number (340110043056).

Almost surely, 2^{10041344113440} is an apocalyptic number.

10041344113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041344113440 is an abundant number, since it is smaller than the sum of its proper divisors (22609220019936).

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

10041344113440 is a wasteful number, since it uses less digits than its factorization.

10041344113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674821562 (or 674821554 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10041344113440 its reverse (4431144314001), we get a palindrome (14472488427441).

The spelling of 10041344113440 in words is "ten trillion, forty-one billion, three hundred forty-four million, one hundred thirteen thousand, four hundred forty".