10404352032000 has 288 divisors, whose sum is σ = 34613023920384. Its totient is φ = 2770080768000.

The previous prime is 10404352031981. The next prime is 10404352032001. The reversal of 10404352032000 is 23025340401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10404352032001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60490122 + ... + 60661878.

Almost surely, 2^{10404352032000} is an apocalyptic number.

10404352032000 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 10404352032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17306511960192).

10404352032000 is an abundant number, since it is smaller than the sum of its proper divisors (24208671888384).

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

10404352032000 is an equidigital number, since it uses as much as digits as its factorization.

10404352032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172422 (or 172398 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 10404352032000 its reverse (23025340401), we get a palindrome (10427377372401).

The spelling of 10404352032000 in words is "ten trillion, four hundred four billion, three hundred fifty-two million, thirty-two thousand".