42961000320 has 1536 divisors, whose sum is σ = 193897267200. Its totient is φ = 8868372480.

The previous prime is 42961000319. The next prime is 42961000337. The reversal of 42961000320 is 2300016924.

42961000320 is a `hidden beast` number, since 4 + 29 + 610 + 0 + 0 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 641208927 + ... + 641208993.

It is an arithmetic number, because the mean of its divisors is an integer number (126235200).

Almost surely, 2^42961000320 is an apocalyptic number.

42961000320 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 42961000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96948633600).

42961000320 is an abundant number, since it is smaller than the sum of its proper divisors (150936266880).

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

42961000320 is a wasteful number, since it uses less digits than its factorization.

42961000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 42961000320 in words is "forty-two billion, nine hundred sixty-one million, three hundred twenty", and thus it is an aban number.