40100044131144 has 160 divisors (see below), whose sum is σ = 114461240382720. Its totient is φ = 13111638493824.

The previous prime is 40100044131131. The next prime is 40100044131151. The reversal of 40100044131144 is 44113144000104.

40100044131144 is a `hidden beast` number, since 4 + 0 + 100 + 0 + 4 + 413 + 1 + 144 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161395699 + ... + 161643965.

It is an arithmetic number, because the mean of its divisors is an integer number (715382752392).

Almost surely, 2^{40100044131144} 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 40100044131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57230620191360).

40100044131144 is an abundant number, since it is smaller than the sum of its proper divisors (74361196251576).

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

40100044131144 is a wasteful number, since it uses less digits than its factorization.

40100044131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253041 (or 253028 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 40100044131144 its reverse (44113144000104), we get a palindrome (84213188131248).

The spelling of 40100044131144 in words is "forty trillion, one hundred billion, forty-four million, one hundred thirty-one thousand, one hundred forty-four".