442102100240 has 40 divisors (see below), whose sum is σ = 1033566352728. Its totient is φ = 175863813120.

The previous prime is 442102100221. The next prime is 442102100257. The reversal of 442102100240 is 42001201244.

It can be written as a sum of positive squares in 4 ways, for example, as 39674265856 + 402427834384 = 199184^2 + 634372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15251477 + ... + 15280436.

Almost surely, 2^442102100240 is an apocalyptic number.

442102100240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442102100240 is an abundant number, since it is smaller than the sum of its proper divisors (591464252488).

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

442102100240 is a wasteful number, since it uses less digits than its factorization.

442102100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30532107 (or 30532101 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 442102100240 its reverse (42001201244), we get a palindrome (484103301484).

The spelling of 442102100240 in words is "four hundred forty-two billion, one hundred two million, one hundred thousand, two hundred forty".