10441535642010 has 384 divisors, whose sum is σ = 30136645693440. Its totient is φ = 2487240000000.

The previous prime is 10441535641993. The next prime is 10441535642081. The reversal of 10441535642010 is 1024653514401.

10441535642010 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 1 + 5 + 3 + 5 + 642 + 0 + 1 + 0 = 666.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 13903509135 + ... + 13903509885.

It is an arithmetic number, because the mean of its divisors is an integer number (78480848160).

Almost surely, 2^{10441535642010} is an apocalyptic number.

10441535642010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10441535642010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068322846720).

10441535642010 is an abundant number, since it is smaller than the sum of its proper divisors (19695110051430).

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

10441535642010 is a wasteful number, since it uses less digits than its factorization.

10441535642010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10441535642010 in words is "ten trillion, four hundred forty-one billion, five hundred thirty-five million, six hundred forty-two thousand, ten".