40300404144 has 320 divisors, whose sum is σ = 143567477760. Its totient is φ = 9400872960.

The previous prime is 40300404113. The next prime is 40300404239. The reversal of 40300404144 is 44140400304.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1766442 + ... + 1789110.

It is an arithmetic number, because the mean of its divisors is an integer number (448648368).

Almost surely, 2^40300404144 is an apocalyptic number.

40300404144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40300404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71783738880).

40300404144 is an abundant number, since it is smaller than the sum of its proper divisors (103267073616).

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

40300404144 is a wasteful number, since it uses less digits than its factorization.

40300404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22748 (or 22742 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40300404144 its reverse (44140400304), we get a palindrome (84440804448).

It can be divided in two parts, 40300 and 404144, that added together give a palindrome (444444).

The spelling of 40300404144 in words is "forty billion, three hundred million, four hundred four thousand, one hundred forty-four".