42492382920 has 320 divisors, whose sum is σ = 156423960000. Its totient is φ = 10281779712.

The previous prime is 42492382879. The next prime is 42492382927. The reversal of 42492382920 is 2928329424.

42492382920 is a `hidden beast` number, since 4 + 249 + 2 + 382 + 9 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42492382927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2476531 + ... + 2493629.

It is an arithmetic number, because the mean of its divisors is an integer number (488824875).

Almost surely, 2^42492382920 is an apocalyptic number.

42492382920 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 42492382920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78211980000).

42492382920 is an abundant number, since it is smaller than the sum of its proper divisors (113931577080).

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

42492382920 is a wasteful number, since it uses less digits than its factorization.

42492382920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17194 (or 17181 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 42492382920 in words is "forty-two billion, four hundred ninety-two million, three hundred eighty-two thousand, nine hundred twenty".