42052771800 has 288 divisors, whose sum is σ = 156204637680. Its totient is φ = 10071475200.

The previous prime is 42052771781. The next prime is 42052771807. The reversal of 42052771800 is 817725024.

42052771800 is a `hidden beast` number, since 4 + 205 + 277 + 180 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42052771807) 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 71 ways as a sum of consecutive naturals, for example, 841515 + ... + 890085.

Almost surely, 2^42052771800 is an apocalyptic number.

42052771800 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 42052771800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78102318840).

42052771800 is an abundant number, since it is smaller than the sum of its proper divisors (114151865880).

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

42052771800 is a wasteful number, since it uses less digits than its factorization.

42052771800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48643 (or 48631 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 42052771800 in words is "forty-two billion, fifty-two million, seven hundred seventy-one thousand, eight hundred".