42082283520 has 156 divisors (see below), whose sum is σ = 145868080176. Its totient is φ = 11221893120.

The previous prime is 42082283491. The next prime is 42082283533. The reversal of 42082283520 is 2538228024.

42082283520 is a `hidden beast` number, since 420 + 8 + 228 + 3 + 5 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70165 + ... + 298475.

It is an arithmetic number, because the mean of its divisors is an integer number (935051796).

Almost surely, 2^42082283520 is an apocalyptic number.

42082283520 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 42082283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72934040088).

42082283520 is an abundant number, since it is smaller than the sum of its proper divisors (103785796656).

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

42082283520 is a wasteful number, since it uses less digits than its factorization.

42082283520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228346 (or 228321 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 42082283520 in words is "forty-two billion, eighty-two million, two hundred eighty-three thousand, five hundred twenty".