42954941281728 has 224 divisors, whose sum is σ = 130330309824000. Its totient is φ = 12231070580736.

The previous prime is 42954941281727. The next prime is 42954941281729. The reversal of 42954941281728 is 82718214945924.

It is an interprime number because it is at equal distance from previous prime (42954941281727) and next prime (42954941281729).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42954941281727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 517120263 + ... + 517203321.

Almost surely, 2^{42954941281728} is an apocalyptic number.

42954941281728 is a gapful number since it is divisible by the number (48) 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 42954941281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65165154912000).

42954941281728 is an abundant number, since it is smaller than the sum of its proper divisors (87375368542272).

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

42954941281728 is a wasteful number, since it uses less digits than its factorization.

42954941281728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84387 (or 84377 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 66.

The spelling of 42954941281728 in words is "forty-two trillion, nine hundred fifty-four billion, nine hundred forty-one million, two hundred eighty-one thousand, seven hundred twenty-eight".