42979313931840 has 896 divisors, whose sum is σ = 178503052492800. Its totient is φ = 9597537607680.

The previous prime is 42979313931803. The next prime is 42979313931859. The reversal of 42979313931840 is 4813931397924.

42979313931840 is a `hidden beast` number, since 429 + 7 + 9 + 3 + 139 + 31 + 8 + 40 = 666.

42979313931840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 591777769 + ... + 591850391.

It is an arithmetic number, because the mean of its divisors is an integer number (199222156800).

Almost surely, 2^{42979313931840} is an apocalyptic number.

42979313931840 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 42979313931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89251526246400).

42979313931840 is an abundant number, since it is smaller than the sum of its proper divisors (135523738560960).

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

42979313931840 is a wasteful number, since it uses less digits than its factorization.

42979313931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73152 (or 73136 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 42979313931840 in words is "forty-two trillion, nine hundred seventy-nine billion, three hundred thirteen million, nine hundred thirty-one thousand, eight hundred forty".