40442142200100 has 144 divisors (see below), whose sum is σ = 122128178629632. Its totient is φ = 10313304819840.

The previous prime is 40442142200093. The next prime is 40442142200183. The reversal of 40442142200100 is 100224124404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29433009 + ... + 30776391.

Almost surely, 2^{40442142200100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40442142200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61064089314816).

40442142200100 is an abundant number, since it is smaller than the sum of its proper divisors (81686036429532).

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

40442142200100 is a wasteful number, since it uses less digits than its factorization.

40442142200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347786 (or 1347779 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 40442142200100 its reverse (100224124404), we get a palindrome (40542366324504).

The spelling of 40442142200100 in words is "forty trillion, four hundred forty-two billion, one hundred forty-two million, two hundred thousand, one hundred".