40044140352000 has 240 divisors, whose sum is σ = 144231487346232. Its totient is φ = 10678437273600.

The previous prime is 40044140351993. The next prime is 40044140352031. The reversal of 40044140352000 is 25304144004.

It is a happy number.

40044140352000 is a `hidden beast` number, since 40 + 0 + 4 + 414 + 0 + 3 + 5 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23697579776256 + 16346560575744 = 4868016^2 + 4043088^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34184539 + ... + 35336538.

Almost surely, 2^{40044140352000} is an apocalyptic number.

40044140352000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40044140352000 is an abundant number, since it is smaller than the sum of its proper divisors (104187346994232).

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

40044140352000 is an equidigital number, since it uses as much as digits as its factorization.

40044140352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69521116 (or 69521087 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40044140352000 its reverse (25304144004), we get a palindrome (40069444496004).

The spelling of 40044140352000 in words is "forty trillion, forty-four billion, one hundred forty million, three hundred fifty-two thousand".