10042012444000 has 96 divisors (see below), whose sum is σ = 24676549515072. Its totient is φ = 4016263680000.

The previous prime is 10042012443997. The next prime is 10042012444027. The reversal of 10042012444000 is 44421024001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30198640 + ... + 30529360.

It is an arithmetic number, because the mean of its divisors is an integer number (257047390782).

Almost surely, 2^{10042012444000} is an apocalyptic number.

10042012444000 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 10042012444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12338274757536).

10042012444000 is an abundant number, since it is smaller than the sum of its proper divisors (14634537071072).

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

10042012444000 is an equidigital number, since it uses as much as digits as its factorization.

10042012444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338337 (or 338319 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 10042012444000 its reverse (44421024001), we get a palindrome (10086433468001).

The spelling of 10042012444000 in words is "ten trillion, forty-two billion, twelve million, four hundred forty-four thousand".