42909252984 has 192 divisors, whose sum is σ = 136619683200. Its totient is φ = 12507820416.

The previous prime is 42909252983. The next prime is 42909253111. The reversal of 42909252984 is 48925290924.

It is a happy number.

42909252984 is a `hidden beast` number, since 4 + 29 + 0 + 92 + 529 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42909252984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42909252983) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 435487 + ... + 524849.

It is an arithmetic number, because the mean of its divisors is an integer number (711560850).

Almost surely, 2^42909252984 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 42909252984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68309841600).

42909252984 is an abundant number, since it is smaller than the sum of its proper divisors (93710430216).

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

42909252984 is a wasteful number, since it uses less digits than its factorization.

42909252984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89416 (or 89400 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 42909252984 in words is "forty-two billion, nine hundred nine million, two hundred fifty-two thousand, nine hundred eighty-four".