42082024992 has 192 divisors, whose sum is σ = 130179861504. Its totient is φ = 11653125120.

The previous prime is 42082024889. The next prime is 42082025009. The reversal of 42082024992 is 29942028024.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3779818 + ... + 3790934.

It is an arithmetic number, because the mean of its divisors is an integer number (678020112).

Almost surely, 2^42082024992 is an apocalyptic number.

42082024992 is a gapful number since it is divisible by the number (42) 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 42082024992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65089930752).

42082024992 is an abundant number, since it is smaller than the sum of its proper divisors (88097836512).

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

42082024992 is a wasteful number, since it uses less digits than its factorization.

42082024992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11311 (or 11303 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 42082024992 in words is "forty-two billion, eighty-two million, twenty-four thousand, nine hundred ninety-two".