42574182800 has 60 divisors (see below), whose sum is σ = 102547791060. Its totient is φ = 16985832960.

The previous prime is 42574182779. The next prime is 42574182809. The reversal of 42574182800 is 828147524.

It can be written as a sum of positive squares in 6 ways, for example, as 1262807296 + 41311375504 = 35536^2 + 203252^2 .

It is a super-2 number, since 2×42574182800² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42574182809) 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 11 ways as a sum of consecutive naturals, for example, 18794 + ... + 292406.

It is an arithmetic number, because the mean of its divisors is an integer number (1709129851).

Almost surely, 2^42574182800 is an apocalyptic number.

42574182800 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 42574182800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51273895530).

42574182800 is an abundant number, since it is smaller than the sum of its proper divisors (59973608260).

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

42574182800 is a wasteful number, since it uses less digits than its factorization.

42574182800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274020 (or 274009 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 41.

The spelling of 42574182800 in words is "forty-two billion, five hundred seventy-four million, one hundred eighty-two thousand, eight hundred".