10404135036000 has 288 divisors, whose sum is σ = 36936623505600. Its totient is φ = 2773508198400.

The previous prime is 10404135035999. The next prime is 10404135036011. The reversal of 10404135036000 is 63053140401.

10404135036000 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 4 + 1 + 3 + 50 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111157221 + ... + 111250779.

It is an arithmetic number, because the mean of its divisors is an integer number (128252164950).

Almost surely, 2^{10404135036000} is an apocalyptic number.

10404135036000 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 10404135036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18468311752800).

10404135036000 is an abundant number, since it is smaller than the sum of its proper divisors (26532488469600).

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

10404135036000 is a wasteful number, since it uses less digits than its factorization.

10404135036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96679 (or 96658 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10404135036000 its reverse (63053140401), we get a palindrome (10467188176401).

The spelling of 10404135036000 in words is "ten trillion, four hundred four billion, one hundred thirty-five million, thirty-six thousand".