42122144000 has 144 divisors (see below), whose sum is σ = 105242657520. Its totient is φ = 16798924800.

The previous prime is 42122143991. The next prime is 42122144003. The reversal of 42122144000 is 44122124.

It can be written as a sum of positive squares in 8 ways, for example, as 22562443264 + 19559700736 = 150208^2 + 139856^2 .

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 (42122144003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11934236 + ... + 11937764.

Almost surely, 2^42122144000 is an apocalyptic number.

42122144000 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 42122144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52621328760).

42122144000 is an abundant number, since it is smaller than the sum of its proper divisors (63120513520).

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

42122144000 is an equidigital number, since it uses as much as digits as its factorization.

42122144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933 (or 3909 counting only the distinct ones).

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

Adding to 42122144000 its reverse (44122124), we get a palindrome (42166266124).

The spelling of 42122144000 in words is "forty-two billion, one hundred twenty-two million, one hundred forty-four thousand".