40242402100144 has 80 divisors (see below), whose sum is σ = 84184194813120. Its totient is φ = 18578492190720.

The previous prime is 40242402100039. The next prime is 40242402100151. The reversal of 40242402100144 is 44100120424204.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46969804 + ... + 47818900.

It is an arithmetic number, because the mean of its divisors is an integer number (1052302435164).

Almost surely, 2^{40242402100144} 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 40242402100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42092097406560).

40242402100144 is an abundant number, since it is smaller than the sum of its proper divisors (43941792712976).

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

40242402100144 is a wasteful number, since it uses less digits than its factorization.

40242402100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853598 (or 853592 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 40242402100144 its reverse (44100120424204), we get a palindrome (84342522524348).

The spelling of 40242402100144 in words is "forty trillion, two hundred forty-two billion, four hundred two million, one hundred thousand, one hundred forty-four".