42842432880 has 360 divisors, whose sum is σ = 156377379600. Its totient is φ = 10506682368.

The previous prime is 42842432869. The next prime is 42842432947. The reversal of 42842432880 is 8823424824.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46116256 + ... + 46117184.

It is an arithmetic number, because the mean of its divisors is an integer number (434381610).

Almost surely, 2^42842432880 is an apocalyptic number.

42842432880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42842432880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78188689800).

42842432880 is an abundant number, since it is smaller than the sum of its proper divisors (113534946720).

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

42842432880 is a wasteful number, since it uses less digits than its factorization.

42842432880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 42842432880 in words is "forty-two billion, eight hundred forty-two million, four hundred thirty-two thousand, eight hundred eighty".