42144254001300 has 144 divisors (see below), whose sum is σ = 133043569291584. Its totient is φ = 10215177600000.

The previous prime is 42144254001259. The next prime is 42144254001313. The reversal of 42144254001300 is 310045244124.

It is a super-2 number, since 2×42144254001300² (a number of 28 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 19987450 + ... + 21995150.

It is an arithmetic number, because the mean of its divisors is an integer number (923913675636).

Almost surely, 2^{42144254001300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42144254001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66521784645792).

42144254001300 is an abundant number, since it is smaller than the sum of its proper divisors (90899315290284).

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

42144254001300 is a wasteful number, since it uses less digits than its factorization.

42144254001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014090 (or 2014083 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 42144254001300 its reverse (310045244124), we get a palindrome (42454299245424).

The spelling of 42144254001300 in words is "forty-two trillion, one hundred forty-four billion, two hundred fifty-four million, one thousand, three hundred".