42303928320 has 384 divisors, whose sum is σ = 152314344000. Its totient is φ = 11275075584.

The previous prime is 42303928259. The next prime is 42303928363. The reversal of 42303928320 is 2382930324.

42303928320 is a `hidden beast` number, since 4 + 2 + 303 + 9 + 28 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 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, 22393936 + ... + 22395824.

Almost surely, 2^42303928320 is an apocalyptic number.

42303928320 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 42303928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76157172000).

42303928320 is an abundant number, since it is smaller than the sum of its proper divisors (110010415680).

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

42303928320 is an frugal number, since it uses more digits than its factorization.

42303928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 42303928320 in words is "forty-two billion, three hundred three million, nine hundred twenty-eight thousand, three hundred twenty".