42438945669120 has 2560 divisors, whose sum is σ = 202937011200000. Its totient is φ = 8126547886080.

The previous prime is 42438945669091. The next prime is 42438945669137. The reversal of 42438945669120 is 2196654983424.

42438945669120 is a `hidden beast` number, since 4 + 2 + 43 + 8 + 9 + 4 + 566 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70849658581 + ... + 70849659179.

It is an arithmetic number, because the mean of its divisors is an integer number (79272270000).

Almost surely, 2^{42438945669120} is an apocalyptic number.

42438945669120 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 42438945669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101468505600000).

42438945669120 is an abundant number, since it is smaller than the sum of its proper divisors (160498065530880).

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

42438945669120 is an equidigital number, since it uses as much as digits as its factorization.

42438945669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 42438945669120 in words is "forty-two trillion, four hundred thirty-eight billion, nine hundred forty-five million, six hundred sixty-nine thousand, one hundred twenty".