42483838824 has 256 divisors, whose sum is σ = 136481587200. Its totient is φ = 11994137856.

The previous prime is 42483838759. The next prime is 42483838829. The reversal of 42483838824 is 42883838424.

42483838824 is a `hidden beast` number, since 4 + 2 + 483 + 83 + 8 + 82 + 4 = 666.

It is a super-2 number, since 2×42483838824² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42483838829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54959302 + ... + 54960074.

It is an arithmetic number, because the mean of its divisors is an integer number (533131200).

Almost surely, 2^42483838824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42483838824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68240793600).

42483838824 is an abundant number, since it is smaller than the sum of its proper divisors (93997748376).

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

42483838824 is a wasteful number, since it uses less digits than its factorization.

42483838824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1171 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The spelling of 42483838824 in words is "forty-two billion, four hundred eighty-three million, eight hundred thirty-eight thousand, eight hundred twenty-four".