42934481568000 has 2880 divisors, whose sum is σ = 179210669654016. Its totient is φ = 10119997440000.

The previous prime is 42934481567987. The next prime is 42934481568001. The reversal of 42934481568000 is 86518443924.

42934481568000 is a `hidden beast` number, since 4 + 2 + 9 + 34 + 48 + 1 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42934481568001) 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 319 ways as a sum of consecutive naturals, for example, 257092703917 + ... + 257092704083.

Almost surely, 2^{42934481568000} is an apocalyptic number.

42934481568000 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 42934481568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89605334827008).

42934481568000 is an abundant number, since it is smaller than the sum of its proper divisors (136276188086016).

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

42934481568000 is a wasteful number, since it uses less digits than its factorization.

42934481568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 42934481568000 in words is "forty-two trillion, nine hundred thirty-four billion, four hundred eighty-one million, five hundred sixty-eight thousand".