10044535224000 has 224 divisors, whose sum is σ = 33976011206592. Its totient is φ = 2613212160000.

The previous prime is 10044535223981. The next prime is 10044535224007. The reversal of 10044535224000 is 42253544001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10044535224007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4119931 + ... + 6087930.

It is an arithmetic number, because the mean of its divisors is an integer number (151678621458).

Almost surely, 2^{10044535224000} is an apocalyptic number.

10044535224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044535224000 is an abundant number, since it is smaller than the sum of its proper divisors (23931475982592).

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

10044535224000 is a wasteful number, since it uses less digits than its factorization.

10044535224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10207932 (or 10207912 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 10044535224000 its reverse (42253544001), we get a palindrome (10086788768001).

The spelling of 10044535224000 in words is "ten trillion, forty-four billion, five hundred thirty-five million, two hundred twenty-four thousand".