42652108800 has 648 divisors, whose sum is σ = 177785203050. Its totient is φ = 9743892480.

The previous prime is 42652108781. The next prime is 42652108853. The reversal of 42652108800 is 880125624.

42652108800 is a `hidden beast` number, since 426 + 52 + 108 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 31235613696 + 11416495104 = 176736^2 + 106848^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 22578256 + ... + 22580144.

Almost surely, 2^42652108800 is an apocalyptic number.

42652108800 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 42652108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88892601525).

42652108800 is an abundant number, since it is smaller than the sum of its proper divisors (135133094250).

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

42652108800 is a wasteful number, since it uses less digits than its factorization.

42652108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 42652108800 in words is "forty-two billion, six hundred fifty-two million, one hundred eight thousand, eight hundred".