42483624960 has 704 divisors, whose sum is σ = 163089239040. Its totient is φ = 9236643840.

The previous prime is 42483624947. The next prime is 42483624983. The reversal of 42483624960 is 6942638424.

It is a super-3 number, since 3×42483624960³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 234716070 + ... + 234716250.

Almost surely, 2^42483624960 is an apocalyptic number.

42483624960 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 42483624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81544619520).

42483624960 is an abundant number, since it is smaller than the sum of its proper divisors (120605614080).

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

42483624960 is a wasteful number, since it uses less digits than its factorization.

42483624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 42483624960 in words is "forty-two billion, four hundred eighty-three million, six hundred twenty-four thousand, nine hundred sixty".