42321374118144 has 945 divisors, whose sum is σ = 143086551300539. Its totient is φ = 12478046423040.

The previous prime is 42321374118139. The next prime is 42321374118167. The reversal of 42321374118144 is 44181147312324.

The square root of 42321374118144 is 6505488.

It is a perfect power (a square), and thus also a powerful number.

42321374118144 is a `hidden beast` number, since 4 + 2 + 3 + 21 + 374 + 118 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26387864895744 + 15933509222400 = 5136912^2 + 3991680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42321374118144.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1143820922094 + ... + 1143820922130.

Almost surely, 2^{42321374118144} is an apocalyptic number.

42321374118144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

42321374118144 is the 6505488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42321374118144

42321374118144 is an abundant number, since it is smaller than the sum of its proper divisors (100765177182395).

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

42321374118144 is an frugal number, since it uses more digits than its factorization.

42321374118144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 53 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 42321374118144 in words is "forty-two trillion, three hundred twenty-one billion, three hundred seventy-four million, one hundred eighteen thousand, one hundred forty-four".