10434044032000 has 352 divisors, whose sum is σ = 27678573711360. Its totient is φ = 3911480115200.

The previous prime is 10434044031977. The next prime is 10434044032003. The reversal of 10434044032000 is 23044043401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434044032003) 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, 520053969 + ... + 520074031.

It is an arithmetic number, because the mean of its divisors is an integer number (78632311680).

Almost surely, 2^{10434044032000} is an apocalyptic number.

10434044032000 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 10434044032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13839286855680).

10434044032000 is an abundant number, since it is smaller than the sum of its proper divisors (17244529679360).

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

10434044032000 is a wasteful number, since it uses less digits than its factorization.

10434044032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20354 (or 20326 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 10434044032000 its reverse (23044043401), we get a palindrome (10457088075401).

The spelling of 10434044032000 in words is "ten trillion, four hundred thirty-four billion, forty-four million, thirty-two thousand".