42082358010 has 128 divisors (see below), whose sum is σ = 127166588928. Its totient is φ = 8657760000.

The previous prime is 42082357937. The next prime is 42082358053. The reversal of 42082358010 is 1085328024.

It is a super-2 number, since 2×42082358010² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143125 + ... + 323495.

It is an arithmetic number, because the mean of its divisors is an integer number (993488976).

Almost surely, 2^42082358010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42082358010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63583294464).

42082358010 is an abundant number, since it is smaller than the sum of its proper divisors (85084230918).

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

42082358010 is a wasteful number, since it uses less digits than its factorization.

42082358010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180500.

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 42082358010 in words is "forty-two billion, eighty-two million, three hundred fifty-eight thousand, ten".