42739033872 has 160 divisors (see below), whose sum is σ = 125923368960. Its totient is φ = 12411463680.

The previous prime is 42739033871. The next prime is 42739033873. The reversal of 42739033872 is 27833093724.

It is an interprime number because it is at equal distance from previous prime (42739033871) and next prime (42739033873).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (42739033871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545079 + ... + 618537.

It is an arithmetic number, because the mean of its divisors is an integer number (787021056).

Almost surely, 2^42739033872 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 42739033872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62961684480).

42739033872 is an abundant number, since it is smaller than the sum of its proper divisors (83184335088).

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

42739033872 is a wasteful number, since it uses less digits than its factorization.

42739033872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73541 (or 73535 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 42739033872 in words is "forty-two billion, seven hundred thirty-nine million, thirty-three thousand, eight hundred seventy-two".