42082757820 has 240 divisors, whose sum is σ = 137290839840. Its totient is φ = 10777729536.

The previous prime is 42082757819. The next prime is 42082757837. The reversal of 42082757820 is 2875728024.

42082757820 is a `hidden beast` number, since 420 + 82 + 75 + 7 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9252787 + ... + 9257333.

It is an arithmetic number, because the mean of its divisors is an integer number (572045166).

Almost surely, 2^42082757820 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 42082757820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68645419920).

42082757820 is an abundant number, since it is smaller than the sum of its proper divisors (95208082020).

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

42082757820 is a wasteful number, since it uses less digits than its factorization.

42082757820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 42082757820 in words is "forty-two billion, eighty-two million, seven hundred fifty-seven thousand, eight hundred twenty".