10004411340240 has 80 divisors (see below), whose sum is σ = 32838009000768. Its totient is φ = 2510911080448.

The previous prime is 10004411340227. The next prime is 10004411340241. The reversal of 10004411340240 is 4204311440001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10004411340240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004411340241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1226026722 + ... + 1226034881.

Almost surely, 2^{10004411340240} is an apocalyptic number.

10004411340240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004411340240 is an abundant number, since it is smaller than the sum of its proper divisors (22833597660528).

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

10004411340240 is a wasteful number, since it uses less digits than its factorization.

10004411340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452061636 (or 2452061630 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10004411340240 its reverse (4204311440001), we get a palindrome (14208722780241).

The spelling of 10004411340240 in words is "ten trillion, four billion, four hundred eleven million, three hundred forty thousand, two hundred forty".