42311977344 has 1024 divisors, whose sum is σ = 165693696000. Its totient is φ = 10319560704.

The previous prime is 42311977333. The next prime is 42311977397. The reversal of 42311977344 is 44377911324.

42311977344 is a `hidden beast` number, since 4 + 231 + 1 + 9 + 77 + 344 = 666.

42311977344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42311977344.

It is a congruent number.

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, 436205904 + ... + 436206000.

It is an arithmetic number, because the mean of its divisors is an integer number (161810250).

Almost surely, 2^42311977344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42311977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82846848000).

42311977344 is an abundant number, since it is smaller than the sum of its proper divisors (123381718656).

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

42311977344 is a wasteful number, since it uses less digits than its factorization.

42311977344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 42311977344 in words is "forty-two billion, three hundred eleven million, nine hundred seventy-seven thousand, three hundred forty-four".