42044584960 has 352 divisors, whose sum is σ = 123123414528. Its totient is φ = 13447987200.

The previous prime is 42044584937. The next prime is 42044584993. The reversal of 42044584960 is 6948544024.

It is a self number, because there is not a number n which added to its sum of digits gives 42044584960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92001052 + ... + 92001508.

Almost surely, 2^42044584960 is an apocalyptic number.

42044584960 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 42044584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61561707264).

42044584960 is an abundant number, since it is smaller than the sum of its proper divisors (81078829568).

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

42044584960 is a wasteful number, since it uses less digits than its factorization.

42044584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 42044584960 in words is "forty-two billion, forty-four million, five hundred eighty-four thousand, nine hundred sixty".