42483640320 has 768 divisors, whose sum is σ = 168176736000. Its totient is φ = 10085990400.

The previous prime is 42483640319. The next prime is 42483640447. The reversal of 42483640320 is 2304638424.

42483640320 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 3 + 640 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 185517966 + ... + 185518194.

It is an arithmetic number, because the mean of its divisors is an integer number (218980125).

Almost surely, 2^42483640320 is an apocalyptic number.

42483640320 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 42483640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84088368000).

42483640320 is an abundant number, since it is smaller than the sum of its proper divisors (125693095680).

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

42483640320 is a wasteful number, since it uses less digits than its factorization.

42483640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 42483640320 in words is "forty-two billion, four hundred eighty-three million, six hundred forty thousand, three hundred twenty".