40041344000 has 704 divisors, whose sum is σ = 125075957760. Its totient is φ = 12489523200.

The previous prime is 40041343999. The next prime is 40041344047. The reversal of 40041344000 is 44314004.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 597631967 + ... + 597632033.

Almost surely, 2^40041344000 is an apocalyptic number.

40041344000 is a gapful number since it is divisible by the number (40) 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 40041344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62537978880).

40041344000 is an abundant number, since it is smaller than the sum of its proper divisors (85034613760).

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

40041344000 is a wasteful number, since it uses less digits than its factorization.

40041344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40041344000 its reverse (44314004), we get a palindrome (40085658004).

The spelling of 40041344000 in words is "forty billion, forty-one million, three hundred forty-four thousand".