42034972896 has 384 divisors, whose sum is σ = 145543910400. Its totient is φ = 11548293120.

The previous prime is 42034972883. The next prime is 42034972927. The reversal of 42034972896 is 69827943024.

42034972896 is a `hidden beast` number, since 42 + 0 + 3 + 497 + 28 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 77698386 + ... + 77698926.

It is an arithmetic number, because the mean of its divisors is an integer number (379020600).

Almost surely, 2^42034972896 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 42034972896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72771955200).

42034972896 is an abundant number, since it is smaller than the sum of its proper divisors (103508937504).

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

42034972896 is a wasteful number, since it uses less digits than its factorization.

42034972896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 42034972896 in words is "forty-two billion, thirty-four million, nine hundred seventy-two thousand, eight hundred ninety-six".