10042041440000 has 720 divisors, whose sum is σ = 27697234672800. Its totient is φ = 3616604160000.

The previous prime is 10042041439939. The next prime is 10042041440009. The reversal of 10042041440000 is 4414024001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042041440009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5910559151 + ... + 5910560849.

It is an arithmetic number, because the mean of its divisors is an integer number (38468381490).

Almost surely, 2^{10042041440000} is an apocalyptic number.

10042041440000 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 10042041440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13848617336400).

10042041440000 is an abundant number, since it is smaller than the sum of its proper divisors (17655193232800).

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

10042041440000 is an equidigital number, since it uses as much as digits as its factorization.

10042041440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10042041440000 its reverse (4414024001), we get a palindrome (10046455464001).

The spelling of 10042041440000 in words is "ten trillion, forty-two billion, forty-one million, four hundred forty thousand".