42801675072 has 112 divisors (see below), whose sum is σ = 122016316800. Its totient is φ = 13163378688.

The previous prime is 42801675071. The next prime is 42801675097. The reversal of 42801675072 is 27057610824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42801675071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9839554 + ... + 9843902.

It is an arithmetic number, because the mean of its divisors is an integer number (1089431400).

Almost surely, 2^42801675072 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 42801675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61008158400).

42801675072 is an abundant number, since it is smaller than the sum of its proper divisors (79214641728).

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

42801675072 is a wasteful number, since it uses less digits than its factorization.

42801675072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 42801675072 in words is "forty-two billion, eight hundred one million, six hundred seventy-five thousand, seventy-two".