44040036735360 has 256 divisors, whose sum is σ = 155984146027200. Its totient is φ = 11743330959360.

The previous prime is 44040036735347. The next prime is 44040036735419. The reversal of 44040036735360 is 6353763004044.

44040036735360 is a `hidden beast` number, since 4 + 4 + 0 + 40 + 0 + 3 + 6 + 73 + 536 + 0 = 666.

44040036735360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345899232 + ... + 346026528.

Almost surely, 2^{44040036735360} is an apocalyptic number.

44040036735360 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 44040036735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77992073013600).

44040036735360 is an abundant number, since it is smaller than the sum of its proper divisors (111944109291840).

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

44040036735360 is a wasteful number, since it uses less digits than its factorization.

44040036735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147346 (or 147328 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 44040036735360 in words is "forty-four trillion, forty billion, thirty-six million, seven hundred thirty-five thousand, three hundred sixty".