42824920320 has 1728 divisors, whose sum is σ = 202491394560. Its totient is φ = 8408530944.

The previous prime is 42824920289. The next prime is 42824920343. The reversal of 42824920320 is 2302942824.

42824920320 is a `hidden beast` number, since 428 + 2 + 4 + 9 + 203 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 481178836 + ... + 481178924.

It is an arithmetic number, because the mean of its divisors is an integer number (117182520).

Almost surely, 2^42824920320 is an apocalyptic number.

42824920320 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 42824920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101245697280).

42824920320 is an abundant number, since it is smaller than the sum of its proper divisors (159666474240).

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

42824920320 is a wasteful number, since it uses less digits than its factorization.

42824920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 42824920320 in words is "forty-two billion, eight hundred twenty-four million, nine hundred twenty thousand, three hundred twenty".