10404141204240 has 480 divisors, whose sum is σ = 42092903381760. Its totient is φ = 2313812127744.

The previous prime is 10404141204239. The next prime is 10404141204319. The reversal of 10404141204240 is 4240214140401.

It is a happy number.

10404141204240 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 4 + 1 + 412 + 0 + 4 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20447964 + ... + 20950596.

It is an arithmetic number, because the mean of its divisors is an integer number (87693548712).

Almost surely, 2^{10404141204240} is an apocalyptic number.

10404141204240 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 10404141204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21046451690880).

10404141204240 is an abundant number, since it is smaller than the sum of its proper divisors (31688762177520).

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

10404141204240 is a wasteful number, since it uses less digits than its factorization.

10404141204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502736 (or 502687 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 10404141204240 its reverse (4240214140401), we get a palindrome (14644355344641).

The spelling of 10404141204240 in words is "ten trillion, four hundred four billion, one hundred forty-one million, two hundred four thousand, two hundred forty".