42101444000000 has 504 divisors, whose sum is σ = 130968262334784. Its totient is φ = 13122432000000.

The previous prime is 42101443999981. The next prime is 42101444000029. The reversal of 42101444000000 is 44410124.

It is a happy number.

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

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 55 ways as a sum of consecutive naturals, for example, 307931654 + ... + 308068346.

Almost surely, 2^{42101444000000} is an apocalyptic number.

42101444000000 is a gapful number since it is divisible by the number (40) 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 42101444000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65484131167392).

42101444000000 is an abundant number, since it is smaller than the sum of its proper divisors (88866818334784).

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

42101444000000 is an frugal number, since it uses more digits than its factorization.

42101444000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136757 (or 136718 counting only the distinct ones).

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

Adding to 42101444000000 its reverse (44410124), we get a palindrome (42101488410124).

The spelling of 42101444000000 in words is "forty-two trillion, one hundred one billion, four hundred forty-four million", and thus it is an aban number.