42544132200 has 120 divisors (see below), whose sum is σ = 147762130230. Its totient is φ = 11345097600.

The previous prime is 42544132199. The next prime is 42544132219. The reversal of 42544132200 is 223144524.

42544132200 is a `hidden beast` number, since 4 + 25 + 4 + 413 + 220 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 40432362084 + 2111770116 = 201078^2 + 45954^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1296891 + ... + 1329290.

Almost surely, 2^42544132200 is an apocalyptic number.

42544132200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42544132200 is an abundant number, since it is smaller than the sum of its proper divisors (105217998030).

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

42544132200 is a wasteful number, since it uses less digits than its factorization.

42544132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626209 (or 2626191 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 42544132200 its reverse (223144524), we get a palindrome (42767276724).

The spelling of 42544132200 in words is "forty-two billion, five hundred forty-four million, one hundred thirty-two thousand, two hundred".